A017572 a(n) = (12*n + 4)^4.

256, 65536, 614656, 2560000, 7311616, 16777216, 33362176, 59969536, 100000000, 157351936, 236421376, 342102016, 479785216, 655360000, 875213056, 1146228736, 1475789056, 1871773696, 2342560000, 2897022976, 3544535296, 4294967296, 5158686976, 6146560000, 7269949696, 8540717056

Offset

0,1

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

a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5), with a(0)=256, a(1)=65536, a(2)=614656, a(3)=2560000, a(4)=7311616. - Harvey P. Dale, Mar 08 2013

From Stefano Spezia, Feb 23 2026: (Start)

G.f.: 256*(1 + 251*x + 1131*x^2 + 545*x^3 + 16*x^4)/(1 - x)^5.

E.g.f.: 256*exp(x)*(1 + 255*x + 945*x^2 + 594*x^3 + 81*x^4). (End)

Mathematica

(12*Range[0, 30]+4)^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {256, 65536, 614656, 2560000, 7311616}, 30] (* Harvey P. Dale, Mar 08 2013 *)

Crossrefs

Sequence in context: A205173 A205416 A229103 * A189270 A016748 A189623

Adjacent sequences: A017569 A017570 A017571 * A017573 A017574 A017575

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved