Revision History for A007715
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
| older changes
|
| |
| |
| |
|
|
#36 by Charles R Greathouse IV at Thu Sep 08 08:44:35 EDT 2022
|
|
| PROG
|
(MAGMAMagma) [n*(n+1)*(5*n^2+n+6)/24: n in [1..45]]; // Vincenzo Librandi, Jul 21 2011
|
| |
|
|
Discussion
|
| Thu Sep 08
| 08:44
| OEIS Server: https://oeis.org/edit/global/2944
|
| |
| |
|
|
#35 by Alois P. Heinz at Sat Jul 29 10:42:40 EDT 2017
| |
| |
| |
|
|
#34 by Alois P. Heinz at Sat Jul 29 10:42:29 EDT 2017
|
|
| REFERENCES
|
B. A. Huberman and T. Hogg, Complexity and adaptation. Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
|
|
| LINKS
|
B. A. Huberman and T. Hogg, <a href="https://doi.org/10.1016/0167-2789(86)90308-1">Complexity and adaptation</a>, Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
#33 by Alois P. Heinz at Fri Jul 28 15:46:07 EDT 2017
| |
| |
| |
|
|
#32 by Alois P. Heinz at Fri Jul 28 15:13:08 EDT 2017
|
|
| PROG
|
(MAGMA) [n*(n+1)*(5*n^2+n+6)/24: n in [1..45]]; // ]]; // _Vincenzo Librandi, _, Jul 21 2011
|
| |
|
|
Discussion
|
| Fri Jul 28
| 15:21
| Alois P. Heinz: ... resolved.
|
| |
| |
|
|
#31 by Alois P. Heinz at Fri Jul 28 15:12:40 EDT 2017
|
|
| DATA
|
1, 7, 27, 75, 170, 336, 602, 1002, 1575, 2365, 3421, 4797, 6552, 8750, 11460, 14756, 18717, 23427, 28975, 35455, 42966, 51612, 61502, 72750, 85475, 99801, 115857, 133777, 153700, 175770, 200136, 226952, 256377, 288575, 323715, 361971, 403522, 448552, 497250
|
| |
| |
|
|
#30 by Alois P. Heinz at Fri Jul 28 15:11:04 EDT 2017
|
|
| FORMULA
|
Expansion of ( x*(1+2x+2x^2)/(1-x)^5.
a(n)=) = n*(n+1)*(5*n^2+n+6)/24. - T. D. Noe, Feb 09 2007
a(01)=1, a(12)=7, a(23)=27, a(34)=75, a(45)=170, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5). [_). - _Harvey P. Dale_, Jul 20 2011]
a(n) = n*A000217(n) - sum((n-3*i)*A000217(i), i=0..n-1). [_). - _Bruno Berselli_, Jun 22 2013]
|
|
| EXAMPLE
|
a(7) = 7*28 - (7*0+4*1+1*3-2*6-5*10-8*15-11*21) = 602. [_. - _Bruno Berselli_, Jun 22 2013]
|
| |
| |
|
|
#29 by Alois P. Heinz at Fri Jul 28 12:47:08 EDT 2017
|
|
| CROSSREFS
|
Row n=5 of A290353.
|
|
| STATUS
|
approved
editing
|
| |
|
|
Discussion
|
| Fri Jul 28
| 15:08
| Alois P. Heinz: there are inconsistencies.
|
| |
| |
|
|
#28 by Ray Chandler at Thu Jul 30 14:39:58 EDT 2015
| |
| |
| |
|
|
#27 by Ray Chandler at Thu Jul 30 14:39:55 EDT 2015
|
|
| LINKS
|
<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1).
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
