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 A347549 Number of partitions of n into 4 or more distinct parts. 7
 1, 1, 2, 3, 5, 7, 10, 13, 18, 23, 30, 38, 48, 59, 73, 89, 108, 130, 156, 185, 220, 259, 304, 356, 415, 482, 559, 645, 743, 854, 979, 1119, 1278, 1455, 1654, 1878, 2127, 2405, 2717, 3063, 3449, 3879, 4356, 4885, 5474, 6125, 6846, 7645, 8527, 9501, 10579 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,3 LINKS Table of n, a(n) for n=10..60. FORMULA G.f.: Sum_{k>=4} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j). a(n) = A000009(n) - A014591(n). - Vaclav Kotesovec, Sep 14 2021 MATHEMATICA nmax = 60; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 4, nmax}], {x, 0, nmax}], x] // Drop[#, 10] & CROSSREFS Cf. A000009, A014591, A111133, A347548. Sequence in context: A026811 A001401 A373078 * A008628 A363067 A038499 Adjacent sequences: A347546 A347547 A347548 * A347550 A347551 A347552 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Sep 06 2021 STATUS approved

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Last modified June 23 03:57 EDT 2024. Contains 373629 sequences. (Running on oeis4.)