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A276739 Least k such that A045876(k) is divisible by 10^n. 0
1, 19, 10699, 102589, 10000112389 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Corresponding values of A045876(k) are 1, 110, 3333300, 333333000, ...

Sequence is infinite.

a(5) > 10^18. - Giovanni Resta, Sep 27 2016

Subsequence of A179239. - David A. Corneth, Oct 01 2016

LINKS

Table of n, a(n) for n=0..4.

EXAMPLE

a(1) = 19 because 19+91 = 110 is divisible by 10.

MATHEMATICA

Table[k = 1; While[! Divisible[Total[FromDigits /@ Permutations@ IntegerDigits@ k], 10^n], k++]; k, {n, 0, 3}] (* Michael De Vlieger, Sep 16 2016 *)

PROG

(PARI) A047726(n) = n=digits(n); (#n)!/prod(i=0, 9, sum(j=1, #n, n[j]==i)!);

A055642(n) = #Str(n);

A007953(n) = sumdigits(n);

A045876(n) = ((10^A055642(n)-1)/9)*(A047726(n)*A007953(n)/A055642(n));

a(n) = {my(k = 1); while (A045876(k) % (10^n), k++); k; }

CROSSREFS

Cf. A045876.

Sequence in context: A156973 A270972 A260005 * A093400 A265169 A174306

Adjacent sequences:  A276736 A276737 A276738 * A276740 A276741 A276742

KEYWORD

nonn,base,more

AUTHOR

Altug Alkan, Sep 16 2016

EXTENSIONS

a(4) from Giovanni Resta, Sep 27 2016

STATUS

approved

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Last modified September 17 06:00 EDT 2019. Contains 327119 sequences. (Running on oeis4.)