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 A002096 Mixed partitions of n. (Formerly M0757 N0286) 4
 0, 0, 1, 2, 3, 6, 9, 14, 20, 29, 42, 58, 79, 108, 145, 191, 252, 329, 427, 549, 704, 894, 1136, 1427, 1793, 2237, 2789, 3450, 4268, 5248, 6447, 7880, 9619, 11691, 14199, 17166, 20739, 24966, 30020, 35976, 43076, 51420, 61320, 72927, 86642, 102682 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS The number of partitions of n with at least one prime part and at least one nonprime part. - Sean A. Irvine, Mar 23 2016 REFERENCES 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. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Table of n, a(n) for n=1..46. FORMULA a(n) = Sum_{k=1..n-1} A000607(n - k) * A002095(k). - Sean A. Irvine, Mar 23 2016 CROSSREFS Sequence in context: A226893 A084628 A325269 * A325866 A094055 A094056 Adjacent sequences: A002093 A002094 A002095 * A002097 A002098 A002099 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Sean A. Irvine, Mar 23 2016 STATUS approved

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Last modified June 3 09:47 EDT 2023. Contains 363107 sequences. (Running on oeis4.)