A017045 a(n) = (7*n + 5)^5.

3125, 248832, 2476099, 11881376, 39135393, 102400000, 229345007, 459165024, 844596301, 1453933568, 2373046875, 3707398432, 5584059449, 8153726976, 11592740743, 16105100000, 21924480357, 29316250624

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

G.f.: (3125 + 230082*x + 1029982*x^2 + 694762*x^3 + 58857*x^4 + 32*x^5)/(x-1)^6. - R. J. Mathar, Jul 14 2016

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). - Wesley Ivan Hurt, Jan 01 2024

Mathematica

(7*Range[0, 20]+5)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {3125, 248832, 2476099, 11881376, 39135393, 102400000}, 20] (* Harvey P. Dale, Jan 13 2017 *)

Prog

(Magma) [(7*n+5)^5: n in [0..30] ]; // Vincenzo Librandi, Jul 18 2011

Crossrefs

Sequence in context: A115791 A016853 A016973 * A017129 A017225 A223231

Adjacent sequences: A017042 A017043 A017044 * A017046 A017047 A017048

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved