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Harvey P. Dale, <a href="/A104470/b104470.txt">Table of n, a(n) for n = 0..449</a>
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RecurrenceTable[{a[0]==a[1]==a[2]==1, a[n]==n(a[n-1]+a[n-2]+a[n-3])}, a, {n, 20}] (* Harvey P. Dale, Dec 25 2018 *)
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_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Mar 09 2005
easy,nonn,new
Jonathan Vos Post (jvospost2jvospost3(AT)yahoogmail.com), Mar 09 2005
Tribonacci-equivalent of mousetrap sequence (A002467).
1, 1, 1, 9, 44, 270, 1938, 15764, 143776, 1453302, 16128420, 194980478, 2550746400, 35904118874, 541097840528, 8693290587030, 148324680742912, 2678504175897990, 51039398650102776, 1023458322628129882
0,4
The mousetrap sequence (A002467) can be defined in a Fibonacci-like way as: a(0) = a(1) = 1; for n>1 a(n) = n*(a(n-1)+a(n-2)). The current sequence is thus the tribonacci-equivalent of that.
a(0) = a(1) = a(2) = 1; for n>2 a(n) = n*(a(n-1)+a(n-2)+a(n-3)).
Cf. A002467.
easy,nonn
Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 09 2005
approved