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A136460 Number of partitions of n into parts which are not digits of n in decimal representation. 2

%I

%S 0,1,2,4,6,10,14,21,29,11,13,8,10,18,23,33,40,55,64,170,35,244,119,

%T 174,234,303,384,475,577,1215,180,399,1844,904,1194,1538,1901,2326,

%U 2776,5681,719,1517,2391,9042,4426,5594,6877,8286,9819,20481,2184,4599,7187,10050,33591

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

%H Andrew Howroyd, <a href="/A136460/b136460.txt">Table of n, a(n) for n = 1..10000</a>

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

%e 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.

%o (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

%Y Cf. A061827.

%K nonn,base

%O 1,3

%A _Reinhard Zumkeller_, Dec 30 2007

%E Terms a(38) and beyond from _Andrew Howroyd_, Feb 02 2020

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Last modified July 24 05:05 EDT 2021. Contains 346273 sequences. (Running on oeis4.)