A037703 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0,2.

1, 8, 40, 202, 1011, 5058, 25290, 126452, 632261, 3161308, 15806540, 79032702, 395163511, 1975817558, 9879087790, 49395438952, 246977194761, 1234885973808, 6174429869040, 30872149345202, 154360746726011, 771803733630058

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Formula

G.f.: ( x*(1+3*x+2*x^3) ) / ( (x-1)*(5*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 13 2015

a(n) = 5*a(n-1) + a(n-4) - 5*a(n-5). - Wesley Ivan Hurt, Jun 26 2022

Mathematica

nn=30; With[{c=PadRight[{}, nn, {1, 3, 0, 2}]}, Table[FromDigits[Take[c, n], 5], {n, nn}]] (* Harvey P. Dale, Feb 16 2013 *)

Prog

(PARI) a(n)=([0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1; -5, 1, 0, 0, 5]^(n-1)*[1; 8; 40; 202; 1011])[1, 1] \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Sequence in context: A270730 A128625 A037598 * A272396 A051199 A228679

Adjacent sequences: A037700 A037701 A037702 * A037704 A037705 A037706

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved