A002096 - OEIS

%I M0757 N0286 #17 Nov 08 2016 20:52:18

%S 0,0,1,2,3,6,9,14,20,29,42,58,79,108,145,191,252,329,427,549,704,894,

%T 1136,1427,1793,2237,2789,3450,4268,5248,6447,7880,9619,11691,14199,

%U 17166,20739,24966,30020,35976,43076,51420,61320,72927,86642,102682

%N Mixed partitions of n.

%C The number of partitions of n with at least one prime part and at least one nonprime part. - _Sean A. Irvine_, Mar 23 2016

%D L. M. Chawla and S. A. Shad, On a trio-set of partition functions and their tables, J. Natural Sciences and Mathematics, 9 (1969), 87-96.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%F a(n) = Sum_{k=1..n-1} A000607(n - k) * A002095(k). - _Sean A. Irvine_, Mar 23 2016

%K nonn

%O 1,4

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Mar 23 2016