A017297 a(n) = (10*n + 2)^5.

32, 248832, 5153632, 33554432, 130691232, 380204032, 916132832, 1934917632, 3707398432, 6590815232, 11040808032, 17623416832, 27027081632, 40074642432, 57735339232, 81136812032, 111577100832

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

Formula

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6); a(0)=32, a(1)=248832, a(2)=5153632, a(3)=33554432, a(4)=130691232, a(5)=380204032. - Harvey P. Dale, May 24 2015

G.f.: (32*(1 + 7770*x + 114410*x^2 + 198890*x^3 + 52905*x^4 + 1024*x^5))/(-1+x)^6. - Harvey P. Dale, May 24 2015

Mathematica

(10*Range[0, 20]+2)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {32, 248832, 5153632, 33554432, 130691232, 380204032}, 20] (* Harvey P. Dale, May 24 2015 *)

Prog

(Magma) [(10*n+2)^5: n in [0..25]]; // Vincenzo Librandi, Jul 30 2011

Crossrefs

Sequence in context: A017189 A159414 A094814 * A228427 A186010 A017417

Adjacent sequences: A017294 A017295 A017296 * A017298 A017299 A017300

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved