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A037744 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0,1. 0
2, 11, 44, 177, 710, 2843, 11372, 45489, 181958, 727835, 2911340, 11645361, 46581446, 186325787, 745303148, 2981212593, 11924850374, 47699401499, 190797605996, 763190423985, 3052761695942, 12211046783771, 48844187135084 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..23.

Index entries for linear recurrences with constant coefficients, signature (4, 0, 0, 1, -4).

FORMULA

a(1)=2, a(2)=11, a(3)=44, a(4)=177, a(5)=710, a(n)=4*a(n-1)+a(n-4)- 4*a(n-5). - Harvey P. Dale, Apr 29 2015

G.f.: ( x*(2+3*x+x^3) ) / ( (x-1)*(4*x-1)*(1+x)*(1+x^2) ). - R. J. Mathar, Oct 14 2015

MATHEMATICA

Module[{nn=30, c}, c=PadRight[{}, nn, {2, 3, 0, 1}]; Table[FromDigits[ Take[ c, n], 4], {n, nn}]] (* or *) LinearRecurrence[{4, 0, 0, 1, -4}, {2, 11, 44, 177, 710}, 30] (* Harvey P. Dale, Apr 29 2015 *)

CROSSREFS

Sequence in context: A153440 A289645 A181369 * A037625 A181270 A110679

Adjacent sequences:  A037741 A037742 A037743 * A037745 A037746 A037747

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified September 22 20:09 EDT 2020. Contains 337291 sequences. (Running on oeis4.)