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A113999 a(n) = Sum_{ k, k|n } 10^(k-1). 9
1, 11, 101, 1011, 10001, 100111, 1000001, 10001011, 100000101, 1000010011, 10000000001, 100000101111, 1000000000001, 10000001000011, 100000000010101, 1000000010001011, 10000000000000001, 100000000100100111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

FORMULA

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

a(n) ~ 10^(n-1). - Vaclav Kotesovec, Jun 05 2021

PROG

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

CROSSREFS

Cf. A034729, A034730, A339684, A339685, A339686, A339687, A339688, A339689.

Sequence in context: A284235 A284299 A284347 * A283062 A282959 A284142

Adjacent sequences: A113996 A113997 A113998 * A114000 A114001 A114002

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Nov 12 2005

STATUS

approved

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Last modified February 7 17:21 EST 2023. Contains 360128 sequences. (Running on oeis4.)