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

1,3

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.

Sequence in context: A082380 A238871 A323595 * A000065 A237758 A023499

Adjacent sequences: A136457 A136458 A136459 * A136461 A136462 A136463

Keyword

nonn,base

Author

Reinhard Zumkeller, Dec 30 2007

Extensions

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

Status

approved