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A037490 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,1. 0
2, 11, 57, 286, 1432, 7161, 35807, 179036, 895182, 4475911, 22379557, 111897786, 559488932, 2797444661, 13987223307, 69936116536, 349680582682, 1748402913411, 8742014567057, 43710072835286, 218550364176432, 1092751820882161 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

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

FORMULA

a(n) = 5a(n-1) + a(n-2) - 5a(n-3).

G.f. x*(2+x) / ( (x-1)*(5*x-1)*(1+x) ). - R. J. Mathar, Nov 21 2011

MATHEMATICA

With[{nn=30}, Table[FromDigits[PadRight[{}, n, {2, 1}], 5], {n, nn}]] (* or *) LinearRecurrence[{5, 1, -5}, {2, 11, 57}, 30] (* Harvey P. Dale, Jun 13 2016 *)

CROSSREFS

Sequence in context: A213098 A041129 A332524 * A037570 A240888 A120464

Adjacent sequences:  A037487 A037488 A037489 * A037491 A037492 A037493

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified April 14 00:42 EDT 2021. Contains 342941 sequences. (Running on oeis4.)