A083590 Expansion of 1/((1-5*x)*(1-x^5)).

1, 5, 25, 125, 625, 3126, 15630, 78150, 390750, 1953750, 9768751, 48843755, 244218775, 1221093875, 6105469375, 30527346876, 152636734380, 763183671900, 3815918359500, 19079591797500, 95397958987501, 476989794937505

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,0,0,0,1,-5).

Formula

a(n) = floor(625*(5^(n+1)+1)/3124). - Tani Akinari, Jul 09 2013

Mathematica

CoefficientList[Series[1/((1-5x)(1-x^5)), {x, 0, 40}], x] (* Vincenzo Librandi, Apr 04 2012 *)
LinearRecurrence[{5, 0, 0, 0, 1, -5}, {1, 5, 25, 125, 625, 3126}, 30] (* Harvey P. Dale, Jan 21 2023 *)

Prog

(PARI) Vec(1/(1-5*x)/(1-x^5)+O(x^99)) \\ Charles R Greathouse IV, Apr 04 2012
(Magma) [Floor(625*(5^(n+1)+1)/3124): n in [0..40]]; // G. C. Greubel, Oct 10 2017

Crossrefs

Cf. A083589, A033139, A000975.

Sequence in context: A000351 A050735 A195948 * A361765 A370546 A097680

Adjacent sequences: A083587 A083588 A083589 * A083591 A083592 A083593

Keyword

easy,nonn

Author

Paul Barry, May 02 2003

Status

approved