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A037491 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,1. 0
2, 13, 80, 481, 2888, 17329, 103976, 623857, 3743144, 22458865, 134753192, 808519153, 4851114920, 29106689521, 174640137128, 1047840822769, 6287044936616, 37722269619697, 226333617718184, 1358001706309105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..20.

Index entries for linear recurrences with constant coefficients, signature (6,1,-6).

FORMULA

a(n) = 6a(n-1) + a(n-2) - 6a(n-3).

G.f. x*(2+x) / ( (x-1)*(6*x-1)*(1+x) ). - R. J. Mathar, Nov 21 2011

MATHEMATICA

Module[{nn=20, d}, d=PadRight[{}, nn, {2, 1}]; Table[FromDigits[Take[d, n], 6], {n, nn}]] (* or *) LinearRecurrence[{6, 1, -6}, {2, 13, 80}, 20] (* Harvey P. Dale, Feb 26 2015 *)

CROSSREFS

Sequence in context: A037555 A135167 A271475 * A037571 A179237 A216316

Adjacent sequences:  A037488 A037489 A037490 * A037492 A037493 A037494

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

An incorrect recurrence was deleted by N. J. A. Sloane, Sep 13 2009

STATUS

approved

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Last modified December 15 11:43 EST 2019. Contains 329999 sequences. (Running on oeis4.)