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 A368868 Number of partitions of n into odd parts not greater than sqrt(n). 1
 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 29, 31, 33, 35, 37, 40, 42, 44, 47, 49, 52, 55, 57, 60, 63, 66, 69, 72, 75, 78, 82, 85, 88, 92, 292, 308, 324, 341, 358, 376, 395, 414, 434, 454, 475, 497, 519, 542, 566, 590, 615, 641, 667, 694, 722, 751 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..10000 MAPLE b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, b(n, i-1)+`if`(i::odd, b(n-i, min(n-i, i)), 0))) end: a:= n-> b(n, floor(sqrt(n))): seq(a(n), n=0..70); # Alois P. Heinz, Jan 13 2024 MATHEMATICA Table[SeriesCoefficient[Product[1/(1 - Boole[OddQ[k]] x^k), {k, 1, Floor[Sqrt[n]]}], {x, 0, n}], {n, 0, 70}] CROSSREFS Cf. A000009, A097356. Sequence in context: A059112 A111731 A369339 * A134992 A073260 A350459 Adjacent sequences: A368865 A368866 A368867 * A368869 A368870 A368871 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jan 08 2024 STATUS approved

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Last modified August 8 09:31 EDT 2024. Contains 375018 sequences. (Running on oeis4.)