A017524 a(n) = (12*n)^4.

0, 20736, 331776, 1679616, 5308416, 12960000, 26873856, 49787136, 84934656, 136048896, 207360000, 303595776, 429981696, 592240896, 796594176, 1049760000, 1358954496, 1731891456, 2176782336, 2702336256, 3317760000, 4032758016, 4857532416, 5802782976, 6879707136, 8100000000

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

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

Formula

From Elmo R. Oliveira, Jun 02 2026: (Start)

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: 20736*x*(1 + x)*(1 + 10*x + x^2)/(1 - x)^5.

E.g.f.: 20736*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).

a(n) = 20736*A000583(n) = 16*A016912(n) = A008594(n)^4 = A000583(A008594(n)). (End)

Mathematica

(12*Range[0, 20])^4 (* Harvey P. Dale, Mar 30 2016 *)
(* Alternative: *)
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 20736, 331776, 1679616, 5308416}, 20] (* Harvey P. Dale, Mar 30 2016 *)

Crossrefs

Cf. A000583, A008594, A016912.

Sequence in context: A390381 A223237 A017404 * A223325 A180691 A103282

Adjacent sequences: A017521 A017522 A017523 * A017525 A017526 A017527

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved