A017575 a(n) = (12n+4)^7.

16384, 268435456, 13492928512, 163840000000, 1028071702528, 4398046511104, 14645194571776, 40867559636992, 100000000000000, 221068140740608, 450766669594624, 860542568759296, 1555363874947072, 2684354560000000, 4453476124377088, 7140436495826944, 11112006825558016

Offset

0,1

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

From Amiram Eldar, Jul 14 2024: (Start)

a(n) = A001015(A017569(n)) = A017569(n)^7.

a(n) = 16384 * A016783(n).

Sum_{n>=0} 1/a(n) = 7*Pi^7/(403107840*sqrt(3)) + 1093*zeta(7)/35831808. (End)

Mathematica

a[n_] := (12*n + 4)^7; Array[a, 20, 0] (* Amiram Eldar, Jul 14 2024 *)

Crossrefs

Cf. A001015, A013665, A016783, A017569.

Sequence in context: A017215 A017323 A017443 * A223806 A223584 A185566

Adjacent sequences: A017572 A017573 A017574 * A017576 A017577 A017578

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Jul 14 2024

Status

approved