A017068 a(n) = (8*n)^4.

0, 4096, 65536, 331776, 1048576, 2560000, 5308416, 9834496, 16777216, 26873856, 40960000, 59969536, 84934656, 116985856, 157351936, 207360000, 268435456, 342102016, 429981696, 533794816, 655360000, 796594176, 959512576, 1146228736, 1358954496, 1600000000

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.: -4096*x*(1+x)*(x^2 + 10*x + 1)/(x-1)^5. - R. J. Mathar, Jul 14 2016

From Elmo R. Oliveira, Nov 28 2025: (Start)

E.g.f.: 4096*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).

a(n) = 4096*A000583(n) = A016804(2*n) = A016744(4*n).

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

Mathematica

(8*Range[0, 20])^4 (* Harvey P. Dale, Aug 16 2016 *)
(* Alternative: *)
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 4096, 65536, 331776, 1048576}, 30] (* Harvey P. Dale, Aug 16 2016 *)

Prog

(Magma) [(8*n)^4: n in [0..35]]; // Vincenzo Librandi, Jul 11 2011

Crossrefs

Cf. A000583, A016744, A016804.

Sequence in context: A272914 A016996 A218527 * A221489 A017260 A027859

Adjacent sequences: A017065 A017066 A017067 * A017069 A017070 A017071

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved