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 A347548 Number of partitions of n into 3 or more distinct parts. 12
 1, 1, 2, 3, 5, 6, 9, 11, 15, 19, 24, 29, 37, 44, 54, 65, 78, 92, 110, 129, 152, 178, 208, 241, 281, 324, 374, 431, 495, 567, 650, 741, 845, 962, 1093, 1239, 1405, 1588, 1794, 2025, 2281, 2566, 2886, 3239, 3633, 4071, 4556, 5093, 5691, 6350, 7080, 7888, 8779, 9762, 10850 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,3 LINKS Table of n, a(n) for n=6..60. FORMULA G.f.: Sum_{k>=3} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j). a(n) = A000009(n) - floor((n + 1)/2). - Vaclav Kotesovec, Sep 14 2021 MATHEMATICA nmax = 60; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 3, nmax}], {x, 0, nmax}], x] // Drop[#, 6] & CROSSREFS Cf. A000009, A004526, A111133, A347549. Sequence in context: A309831 A309830 A008770 * A230515 A030068 A239958 Adjacent sequences: A347545 A347546 A347547 * A347549 A347550 A347551 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Sep 06 2021 STATUS approved

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Last modified June 19 15:41 EDT 2024. Contains 373503 sequences. (Running on oeis4.)