A016998 a(n) = (7*n + 1)^6.

1, 262144, 11390625, 113379904, 594823321, 2176782336, 6321363049, 15625000000, 34296447249, 68719476736, 128100283921, 225199600704, 377149515625, 606355001344, 941480149401, 1418519112256, 2081951752609

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

Formula

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); a(0)=1, a(1)=262144, a(2)=11390625, a(3)=113379904, a(4)=594823321, a(5)=2176782336, a(6)=6321363049. - Harvey P. Dale, Jun 11 2014

Maple

seq((7*n+1)^6, n=0..20); # Muniru A Asiru, Oct 13 2018

Mathematica

(7*Range[0, 20]+1)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 262144, 11390625, 113379904, 594823321, 2176782336, 6321363049}, 20] (* Harvey P. Dale, Jun 11 2014 *)

Prog

(Magma) [(7*n+1)^6: n in [0..30]]; // Vincenzo Librandi, Jul 13 2011
(PARI) a(n) = (7*n+1)^6; \\ Altug Alkan, Oct 13 2018
(GAP) List([0..20], n->(7*n+1)^6); # Muniru A Asiru, Oct 13 2018

Crossrefs

Sequence in context: A250861 A186629 A186626 * A017070 A017262 A018873

Adjacent sequences: A016995 A016996 A016997 * A016999 A017000 A017001

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved