A276597 Least k such that n divides A045876(k).

1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 10, 39, 49, 59, 69, 79, 89, 102, 199, 109, 106, 13, 599, 103, 799, 139, 108, 149, 2999, 104, 4999, 169, 12, 179, 8999, 105, 100, 289, 139, 389, 10000, 106, 79999, 13, 159, 689, 299999, 107, 100006, 1789, 179, 2789, 899999, 108, 14, 4789, 199, 5789, 5999999, 109

Offset: 1

Author

Altug Alkan, Sep 08 2016

Keywords

• nonn
• base
• easy

Comments

Corresponding values of A045876(a(n))/n are 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 11, 11, 11, 11, 11, 11, 37, 111, 111, 74, 2, 111, 37, 111, 111, 74, 111, 1111, 37, 1111, 111, 1, 111, 1111, 37, 3, 111, 74, 111, 271, 37, 11111, 1, 74, 111, 111111, 37, 79365, 3333, ...

Examples

			a(10) = 19 because 19+91 = 110 is divisible by 10.
a(18) = 102 because 12+21+102+120+201+210 is divisible by 18.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..150

Crossrefs

Cf. A045876.

Programs

PARI

A047726(n) = n=eval(Vec(Str(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) % n, k++); k; }