A037506 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.

1, 7, 35, 176, 882, 4410, 22051, 110257, 551285, 2756426, 13782132, 68910660, 344553301, 1722766507, 8613832535, 43069162676, 215345813382, 1076729066910, 5383645334551, 26918226672757, 134591133363785, 672955666818926

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Index entries for 5-automatic sequences.

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

Formula

G.f.: x*(1+2*x) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007092(a(n)) = A037511(n).

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 2, 0}], 5], {n, 30}] (* or *) LinearRecurrence[{5, 0, 1, -5}, {1, 7, 35, 176}, 30] (* Harvey P. Dale, Jul 05 2022 *)

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -5, 1, 0, 5]^(n-1)*[1; 7; 35; 176])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A249793 A268990 A005055 * A037689 A051926 A297602

Adjacent sequences: A037503 A037504 A037505 * A037507 A037508 A037509

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved