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A037582 Base 10 digits are, in order, the first n terms of the periodic sequence with initial period 1,3. +0
1
1, 13, 131, 1313, 13131, 131313, 1313131, 13131313, 131313131, 1313131313, 13131313131, 131313131313, 1313131313131, 13131313131313, 131313131313131, 1313131313131313 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=10*a(n-1)+2+(-1)^n, with a(0)=0. Closed form: a(n)=-(2/9)+(1/11)*(-1)^n+(13/99)*10^n, with n>=1 [From Paolo P. Lava (ppl(AT)spl.at), Jul 30 2009]

CROSSREFS

Sequence in context: A037603 A037708 A142740 this_sequence A065539 A048554 A161498

Adjacent sequences: A037579 A037580 A037581 this_sequence A037583 A037584 A037585

KEYWORD

nonn,base

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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