A037661 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0.

3, 16, 80, 403, 2016, 10080, 50403, 252016, 1260080, 6300403, 31502016, 157510080, 787550403, 3937752016, 19688760080, 98443800403, 492219002016, 2461095010080, 12305475050403, 61527375252016, 307636876260080

Offset

1,1

Links

Table of n, a(n) for n=1..21.

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

Formula

G.f.: x*(3+x) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 30 2015

a(n) = 5*a(n-1) + a(n-3) - 5*a(n-4). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

Module[{nn=30, c}, c=PadRight[{}, nn, {3, 1, 0}]; Table[FromDigits[Take[c, n], 5], {n, nn}]] (* Harvey P. Dale, Feb 19 2013 *)

Crossrefs

Sequence in context: A343117 A055842 A037773 * A372324 A290587 A072615

Adjacent sequences: A037658 A037659 A037660 * A037662 A037663 A037664

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved