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

Offset: 1

Author

Reinhard Zumkeller, Dec 30 2007

Keywords

• nonn
• base

Examples

			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.
		

Links

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

Crossrefs

Cf. A061827.

Programs

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

Extensions

Terms a(38) and beyond from Andrew Howroyd, Feb 02 2020