A136460 - OEIS

A136460

Number of partitions of n into parts which are not digits of n in decimal representation.

0, 1, 2, 4, 6, 10, 14, 21, 29, 11, 13, 8, 10, 18, 23, 33, 40, 55, 64, 170, 35, 244, 119, 174, 234, 303, 384, 475, 577, 1215, 180, 399, 1844, 904, 1194, 1538, 1901, 2326, 2776, 5681, 719, 1517, 2391, 9042, 4426, 5594, 6877, 8286, 9819, 20481, 2184, 4599, 7187, 10050, 33591

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..10000

EXAMPLE

a(12) = #{9+3,8+4,7+5,6+6,6+3+3,5+4+3,4+4+4,3+3+3+3} = 8;

a(13) = #{9+4,9+2+2,8+5,7+6,7+4+2,7+2+2+2,6+5+2,5+4+4,5+4+2+2,5+2+2+2+2} = 10.

PROG

(PARI) a(n)={my(S=Set(digits(n))); polcoef(1/prod(k=1, 9, 1 - if(!setsearch(S, k), x^k) + O(x*x^n)), n)} \\ Andrew Howroyd, Feb 02 2020

CROSSREFS

Cf. A061827.