A017646 (12n+10)^6.

1000000, 113379904, 1544804416, 9474296896, 38068692544, 117649000000, 304006671424, 689869781056, 1418519112256, 2699554153024, 4826809000000, 8198418170944, 13339032325696, 20924183895616

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)=1000000, a(1)=113379904, a(2)=1544804416, a(3)=9474296896, a(4)=38068692544, a(5)=117649000000, a(6)=304006671424, 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, Aug 27 2011]

G.f.: -((64*(15625+1662186*x+12064767*x^2+15728812*x^3+4003287*x^4+ 117642*x^5+x^6))/(x-1)^7). - Harvey P. Dale, Aug 27 2011

Mathematica

(12Range[0, 30]+10)^6 (* Harvey P. Dale, Aug 27 2011 *)

Crossrefs

Sequence in context: A017178 A017274 A017514 * A227138 A227111 A227137

Adjacent sequences: A017643 A017644 A017645 * A017647 A017648 A017649

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved