editing
approved
editing
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<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2).
approved
editing
(MAGMAMagma) [ n le 2 select n+4 else 2*Self(n-2): n in [1..40] ];
editing
approved
LinearRecurrence[{0, 2}, {5, 6}, 50] (* or *) With[{nn=20}, Riffle[NestList[ 2#&, 5, nn], NestList[2#&, 6, nn]]] (* Harvey P. Dale, Aug 15 2020 *)
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editing
a(n) = 2*a(n-2) for n > 2; a(1) = 3, 5, a(2) = 56.
3, 5, 6, 10, 12, 20, 24, 40, 48, 80, 96, 160, 192, 320, 384, 640, 768, 1280, 1536, 2560, 3072, 5120, 6144, 10240, 12288, 20480, 24576, 40960, 49152, 81920, 98304, 163840, 196608, 327680, 393216, 655360, 786432, 1310720, 1572864, 2621440, 3145728
Interleaving of A020714 and A007283 without initial term 3.
Partial sums are in A164096.
Interleaving of A020714 and A007283. The sequence comes from a bifurcation cascade into the parameter plane, exiting a chaotic window and going to another chaotic region in a system of two coupled logistic maps whose dynamical behaviour Binomial transform is A048655 without initial 1, second binomial transform is A161941 without initial 2, third binomial transform is A164037, fourth binomial transform is A161731 without initial 1, fifth binomial transform is A164038, sixth binomial transform is done in terms of their integer periodicitiesA164110.
R. O. E. Bustos-Espinoza and G. M. Ramirez-Avila. Synchronization conditions on coupled maps using periodicities, Eur. Phys. J. Special Topics, 225 (2016), 2697-2705.
Vincenzo Librandi, <a href="/A164095/b164095.txt">Table of n, a(n) for n = 1..1000</a>
for n=3 the a(3)=6
for n=4 the a(4)=10
for n=5 the a(5)=12
for n=6 the a(6)=20
etc.
(MATLAB) [ n=50; a=zeros(n, 1); a(1)=3; a(2)=5;
for (MAGMA) [ n le 2 select n+4 else 2*Self(n=3-2): n, in [1..40] ];
a(n)= 2 * a(n-2);
end
a'
];
Klaus Brockhaus, Aug 10 2009 ~~~
We introduced new seeds for A164095.
editing
approved
a(n) = 2*a(n-2) for n > 2; a(1) = 5, 3, a(2) = 65.
3, 5, 6, 10, 12, 20, 24, 40, 48, 80, 96, 160, 192, 320, 384, 640, 768, 1280, 1536, 2560, 3072, 5120, 6144, 10240, 12288, 20480, 24576, 40960, 49152, 81920, 98304, 163840, 196608, 327680, 393216, 655360, 786432, 1310720, 1572864, 2621440, 3145728
Interleaving of A020714 and A007283 without initial term 3. The sequence comes from a bifurcation cascade into the parameter plane, exiting a chaotic window and going to another chaotic region in a system of two coupled logistic maps whose dynamical behaviour is done in terms of their integer periodicities.
Partial sums are in A164096.
Binomial transform is A048655 without initial 1, second binomial transform is A161941 without initial 2, third binomial transform is A164037, fourth binomial transform is A161731 without initial 1, fifth binomial transform is A164038, sixth binomial transform is A164110.
R. O. E. Bustos-Espinoza and G. M. Ramirez-Avila. Synchronization conditions on coupled maps using periodicities, Eur. Phys. J. Special Topics, 225 (2016), 2697-2705.
Vincenzo Librandi, <a href="/A164095/b164095.txt">Table of n, a(n) for n = 1..1000</a>
for n=3 the a(3)=6
for n=4 the a(4)=10
for n=5 the a(5)=12
for n=6 the a(6)=20
etc.
(MAGMA) [ n le 2 select n+4 else 2*Self(n-2): n in [1..40] ];
(MATLAB) [ n=50; a=zeros(n, 1); a(1)=3; a(2)=5;
for n=3:n,
a(n)= 2 * a(n-2);
end
a'
];
Klaus Brockhaus, Aug 10 2009 ~~~
We introduced new seeds for A164095.
approved
editing
a(n) = 2*a(n-2) for n > 2; a(1) = 3, 5, a(2) = 56.
3, 5, 6, 10, 12, 20, 24, 40, 48, 80, 96, 160, 192, 320, 384, 640, 768, 1280, 1536, 2560, 3072, 5120, 6144, 10240, 12288, 20480, 24576, 40960, 49152, 81920, 98304, 163840, 196608, 327680, 393216, 655360, 786432, 1310720, 1572864, 2621440, 3145728
Interleaving of A020714 and A007283 without initial term 3.
Partial sums are in A164096.
Interleaving of A020714 and A007283. The sequence comes from a bifurcation cascade into the parameter plane, exiting a chaotic window and going to another chaotic region in a system of two coupled logistic maps whose dynamical behavior Binomial transform is A048655 without initial 1, second binomial transform is A161941 without initial 2, third binomial transform is A164037, fourth binomial transform is A161731 without initial 1, fifth binomial transform is A164038, sixth binomial transform is done in terms of their integer periodicitiesA164110.
R. O. E. Bustos-Espinoza and G. M. Ramirez-Avila. Synchronization conditions on coupled maps using periodicities, Eur. Phys. J. Special Topics, 225 (2016), 2697-2705.
Vincenzo Librandi, <a href="/A164095/b164095.txt">Table of n, a(n) for n = 1..1000</a>
for n=3 the a(3)=6
for n=4 the a(4)=10
for n=5 the a(5)=12
for n=6 the a(6)=20
etc.
(MATLAB) [ n=50; a=zeros(n, 1); a(1)=3; a(2)=5;
for (MAGMA) [ n le 2 select n+4 else 2*Self(n=3-2): n, in [1..40] ];
a(n)= 2 * a(n-2);
end
a' ]
~~~
Klaus Brockhaus, Aug 10 2009
We introduced new seeds for A164095.
proposed
approved
editing
proposed
a(n) = 2*a(n-2) for n > 2; a(1) = 5, 3, a(2) = 65.
3, 5, 6, 10, 12, 20, 24, 40, 48, 80, 96, 160, 192, 320, 384, 640, 768, 1280, 1536, 2560, 3072, 5120, 6144, 10240, 12288, 20480, 24576, 40960, 49152, 81920, 98304, 163840, 196608, 327680, 393216, 655360, 786432, 1310720, 1572864, 2621440, 3145728
Interleaving of A020714 and A007283 without initial term 3. The sequence comes from a bifurcation cascade into the parameter plane, exiting a chaotic window and going to another chaotic region in a system of two coupled logistic maps whose dynamical behavior is done in terms of their integer periodicities.
Partial sums are in A164096.
Binomial transform is A048655 without initial 1, second binomial transform is A161941 without initial 2, third binomial transform is A164037, fourth binomial transform is A161731 without initial 1, fifth binomial transform is A164038, sixth binomial transform is A164110.
R. O. E. Bustos-Espinoza and G. M. Ramirez-Avila. Synchronization conditions on coupled maps using periodicities, Eur. Phys. J. Special Topics, 225 (2016), 2697-2705.
Vincenzo Librandi, <a href="/A164095/b164095.txt">Table of n, a(n) for n = 1..1000</a>
for n=3 the a(3)=6
for n=4 the a(4)=10
for n=5 the a(5)=12
for n=6 the a(6)=20
etc.
(MAGMA) [ n le 2 select n+4 else 2*Self(n-2): n in [1..40] ];
(MATLAB) [ n=50; a=zeros(n, 1); a(1)=3; a(2)=5;
for n=3:n,
a(n)= 2 * a(n-2);
end
a' ]
Klaus Brockhaus, Aug 10 2009
~~~
We introduced new seeds for A164095.
approved
editing