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A128515 Partitions of n into primes that are not factors of n.

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%I A128515 #3 Feb 16 2025 08:33:04
%S A128515 0,0,0,0,1,0,2,1,2,1,5,1,8,2,3,4,16,2,22,4,7,7,39,4,26,11,21,10,86,3,
%T A128515 110,26,30,28,40,11,218,41,55,23,335,8,412,55,49,91,613,29,372,51,176,
%U A128515 115,1082,44,295,104,297,255,1849,22,2197,352,250,439,688,57,3629,437
%N A128515 Partitions of n into primes that are not factors of n.
%C A128515 a(A000040(n)) = A000607(A000040(n)) - 1.
%H A128515 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimePartition.html">Prime Partition.</a>
%e A128515 a(9) = #{2+2+5, 2+7} = 2;
%e A128515 a(10) = #{3+7} = 1;
%e A128515 a(11) = #{2+2+2+2+3, 2+2+2+5, 2+2+7, 3+3+3+2, 3+3+5} = 5.
%K A128515 nonn
%O A128515 1,7
%A A128515 _Reinhard Zumkeller_, Mar 06 2007