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A113999 a(n) = Sum_{ k, k|n } 10^(k-1). 1
1, 11, 101, 1011, 10001, 100111, 1000001, 10001011, 100000101, 1000010011, 10000000001, 100000101111, 1000000000001, 10000001000011, 100000000010101, 1000000010001011, 10000000000000001, 100000000100100111 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A034729 to base 2. Stacking elements of the sequence gives A113998.

FORMULA

G.f.: Sum_{n>0} x^n/(1-10*x^n).

PROG

(PARI) a(n)=if(n<1, 0, sumdiv(n, k, 10^(k-1))).

CROSSREFS

Sequence in context: A147757 A089183 A164046 * A068166 A199306 A113978

Adjacent sequences:  A113996 A113997 A113998 * A114000 A114001 A114002

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 12 2005

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Last modified February 15 18:14 EST 2012. Contains 205835 sequences.