A037710 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2,0.

1, 8, 42, 210, 1051, 5258, 26292, 131460, 657301, 3286508, 16432542, 82162710, 410813551, 2054067758, 10270338792, 51351693960, 256758469801, 1283792349008, 6418961745042, 32094808725210, 160474043626051, 802370218130258, 4011851090651292, 20059255453256460, 100296277266282301

Offset

1,2

Links

Table of n, a(n) for n=1..25.

Index entries for linear recurrences with constant coefficients, signature (6,-6,6,-5).

Formula

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

a(n) = 6*a(n-1) - 6*a(n-2) + 6*a(n-3) - 5*a(n-4). - Wesley Ivan Hurt, Dec 29 2023

a(n) = floor(35*5^n/104). - Christian Krause, Jun 06 2026

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 3, 2, 0}], 5], {n, 30}] (* Harvey P. Dale, Jan 14 2019 *)

Crossrefs

Sequence in context: A352626 A276265 A249977 * A037612 A346980 A047759

Adjacent sequences: A037707 A037708 A037709 * A037711 A037712 A037713

Keyword

nonn,base

Author

Clark Kimberling

Extensions

a(23)-a(25) from Christian Krause, Jun 06 2026

Status

approved