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 A336766 The number of partitions of n into an even number of parts, each part occurring at most five times, minus the number of partitions of n into an odd number of parts, each part occurring at most five times. 1
 1, -1, 0, -1, 1, -1, 0, 0, 2, -1, 1, -1, 1, -1, 1, -1, 2, -2, 1, -2, 2, -2, 1, -2, 3, -3, 2, -2, 3, -3, 3, -3, 4, -4, 3, -4, 5, -4, 4, -4, 6, -5, 5, -6, 6, -7, 6, -6, 8, -8, 7, -8, 9, -9, 8, -9, 11, -11, 10, -11, 12, -12, 11, -13, 15, -15, 14, -15, 17, -17, 16, -17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS H. L. Alder and A. A. Muwafi, Identities relating the number of partitions into an even and odd number of parts, Fibonacci Quarterly, 13 (1975), 147-149. FORMULA G.f.: Product_{n>0} ((1-q^(6*n))/(1+q^n)). EXAMPLE There are 10 partitions of 6 where parts occur at most five times: 6, 5+1, 4+2, 4+1+1, 3+3, 3+2+1, 3+1+1+1, 2+2+2, 2+2+1+1, 2+1+1+1+1, and so a(6) = 0. CROSSREFS Cf. A000041, A106459, A219601, A336767. Sequence in context: A107039 A249771 A030615 * A147753 A333355 A116531 Adjacent sequences:  A336761 A336762 A336763 * A336767 A336768 A336769 KEYWORD sign AUTHOR Jeremy Lovejoy, Aug 04 2020 STATUS approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)