A017634 (12n+9)^6.

531441, 85766121, 1291467969, 8303765625, 34296447249, 107918163081, 282429536481, 646990183449, 1340095640625, 2565164201769, 4608273662721, 7858047974841, 12827693806929, 20179187015625

Offset

0,1

Links

Table of n, a(n) for n=0..13.

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

Formula

a(0)=531441, a(1)=85766121, a(2)=1291467969, a(3)=8303765625, a(4)=34296447249, a(5)=107918163081, a(6)=282429536481, 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, Sep 14 2014

Mathematica

(12*Range[0, 20]+9)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {531441, 85766121, 1291467969, 8303765625, 34296447249, 107918163081, 282429536481}, 20] (* Harvey P. Dale, Sep 14 2014 *)

Crossrefs

Sequence in context: A017166 A017382 A017502 * A203654 A016764 A016776

Adjacent sequences: A017631 A017632 A017633 * A017635 A017636 A017637

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved