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

1,2

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, ...

Links

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

Example

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.

Prog

(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; }

Crossrefs

Cf. A045876.

Sequence in context: A349732 A118763 A098488 * A199344 A366198 A259046

Adjacent sequences: A276594 A276595 A276596 * A276598 A276599 A276600

Keyword

nonn,base,easy

Author

Altug Alkan, Sep 08 2016

Status

approved