A016900 a(n) = (5*n + 4)^4.
256, 6561, 38416, 130321, 331776, 707281, 1336336, 2313441, 3748096, 5764801, 8503056, 12117361, 16777216, 22667121, 29986576, 38950081, 49787136, 62742241, 78074896, 96059601, 116985856, 141158161
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).
Programs
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Magma
[(5*n+4)^4: n in [0..50]]; // Vincenzo Librandi, May 02 2011
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Maple
A016900:=n->(5*n + 4)^4; seq(A016900(n), n=0..50); # Wesley Ivan Hurt, Feb 15 2014
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Mathematica
Table[(5 n + 4)^4, {n, 0, 50}] (* Wesley Ivan Hurt, Feb 15 2014 *) -
PARI
a(n)=(5*n+4)^4 \\ Charles R Greathouse IV, Feb 18 2014
Formula
From R. J. Mathar, Mar 01 2010: (Start)
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).
G.f.: (256 + 5281*x + 8171*x^2 + 1291*x^3 + x^4)/(1 - x)^5. (End)