A017538 (12n+1)^6.

1, 4826809, 244140625, 2565726409, 13841287201, 51520374361, 151334226289, 377149515625, 832972004929, 1677100110841, 3138428376721, 5534900853769, 9294114390625, 14976071831449, 23298085122481

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

Formula

a(0)=1, a(1)=4826809, a(2)=244140625, a(3)=2565726409, a(4)=13841287201, a(5)=51520374361, a(6)=151334226289, a(n)=7*a(n-1)-21*a(n-2)+ 35*a(n-3)- 35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - Harvey P. Dale, Jan 14 2013

Mathematica

(12*Range[0, 20]+1)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 4826809, 244140625, 2565726409, 13841287201, 51520374361, 151334226289}, 20](* Harvey P. Dale, Jan 14 2013 *)

Crossrefs

Sequence in context: A248587 A204053 A176772 * A190583 A034637 A043637

Adjacent sequences: A017535 A017536 A017537 * A017539 A017540 A017541

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved