A037752 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1,0.

2, 13, 66, 330, 1652, 8263, 41316, 206580, 1032902, 5164513, 25822566, 129112830, 645564152, 3227820763, 16139103816, 80695519080, 403477595402, 2017387977013, 10086939885066, 50434699425330, 252173497126652

Offset

1,1

Links

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

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

Formula

G.f.: ( x*(2+x) ) / ( (x-1)*(5*x-1)*(x^2+1) ). - R. J. Mathar, Oct 15 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 3, 1, 0}], 5], {n, 30}] (* Harvey P. Dale, Jan 26 2025 *)
(* Alternative: *)
LinearRecurrence[{6, -6, 6, -5}, {2, 13, 66, 330}, 30] (* Harvey P. Dale, Jan 26 2025 *)

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -5, 6, -6, 6]^(n-1)*[2; 13; 66; 330])[1, 1] \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Sequence in context: A037745 A037626 A160459 * A037640 A391827 A137967

Adjacent sequences: A037749 A037750 A037751 * A037753 A037754 A037755

Keyword

nonn,base,easy,changed

Author

Clark Kimberling

Status

approved