A017164 a(n) = (9*n)^4.

0, 6561, 104976, 531441, 1679616, 4100625, 8503056, 15752961, 26873856, 43046721, 65610000, 96059601, 136048896, 187388721, 252047376, 332150625, 429981696, 547981281, 688747536, 855036081, 1049760000, 1275989841, 1536953616, 1836036801, 2176782336, 2562890625

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

G.f.: -6561*x*(1+x)*(x^2 + 10*x + 1)/(x-1)^5. - R. J. Mathar, Jul 17 2014

a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5). - Wesley Ivan Hurt, Apr 21 2021

From Elmo R. Oliveira, Nov 27 2025: (Start)

E.g.f.: 6561*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).

a(n) = 6561*A000583(n) = A016768(3*n). (End)

Mathematica

(9*Range[0, 25])^4 (* Paolo Xausa, Nov 30 2025 *)

Prog

(Magma) [(9*n)^4: n in [0..35]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Cf. A000583, A016768.

Sequence in context: A255114 A255629 A017080 * A017380 A017500 A017632

Adjacent sequences: A017161 A017162 A017163 * A017165 A017166 A017167

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved