A017610 (12n+7)^6.

117649, 47045881, 887503681, 6321363049, 27680640625, 90458382169, 243087455521, 567869252041, 1194052296529, 2313060765625, 4195872914689, 7212549413161, 11853911588401, 18755369578009

Offset

0,1

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

Formula

a(0)=117649, a(1)=47045881, a(2)=887503681, a(3)=6321363049, a(4)=27680640625, a(5)=90458382169, a(6)=243087455521, 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) From Harvey P. Dale, Jun 05 2012

Mathematica

(12*Range[0, 30]+7)^6 (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {117649, 47045881, 887503681, 6321363049, 27680640625, 90458382169, 243087455521}, 30] (* Harvey P. Dale, Jun 05 2012 *)

Crossrefs

Sequence in context: A017250 A017358 A017478 * A120321 A202599 A251882

Adjacent sequences: A017607 A017608 A017609 * A017611 A017612 A017613

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved