

A112022


Number of partitions of n into distinct Chen primes.


5



1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 6, 7, 6, 9, 7, 9, 9, 9, 11, 11, 11, 13, 12, 14, 15, 14, 17, 15, 17, 19, 18, 21, 21, 21, 24, 24, 26, 28, 27, 30, 30, 32, 35, 34, 37, 37, 39, 41, 43, 45, 46, 48, 51, 53, 56, 58, 59, 61, 64, 66, 70, 71, 73
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OFFSET

0,6


COMMENTS



LINKS



FORMULA



MATHEMATICA

terms = 81;
gf = Times @@ (1 + x^SequencePosition[ PrimeOmega[ Range[terms]], {1, _, 12}][[All, 1]]) + O[x]^terms;


PROG

(PARI) P=1+O(x^1001); forprime(p=2, 1e3, if(bigomega(p+2)<3, P*=1+x^p)); Vec(P) \\ Charles R Greathouse IV, May 13 2013


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



