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A037567 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,2,1. 0
2, 22, 221, 2212, 22122, 221221, 2212212, 22122122, 221221221, 2212212212, 22122122122, 221221221221, 2212212212212, 22122122122122, 221221221221221, 2212212212212212 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (10,0,1,-10)

FORMULA

a(n)=10*a(n-1)+(1/9)*{8*(n mod 3)+5*[(n+1) mod 3]+2*[(n+2) mod 3]}, with a(0)=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 30 2009]

G.f. x*(2+2*x+x^2) / ( (x-1)*(10*x-1)*(1+x+x^2) ). - R. J. Mathar, Nov 21 2011

CROSSREFS

Sequence in context: A007613 A043037 A058441 * A174200 A137109 A002276

Adjacent sequences:  A037564 A037565 A037566 * A037568 A037569 A037570

KEYWORD

nonn,base

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified February 16 06:41 EST 2012. Contains 205862 sequences.