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A294142 Number of partitions of n into distinct odd parts that do not divide n. 1
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 3, 1, 2, 2, 3, 0, 4, 4, 4, 2, 6, 1, 6, 8, 4, 10, 12, 4, 12, 5, 7, 17, 17, 8, 14, 24, 9, 29, 24, 4, 33, 40, 25, 29, 28, 23, 45, 63, 23, 30, 52, 37, 84, 99, 26, 113, 112, 23, 143, 60, 57, 173, 143, 89, 70, 226, 87, 256, 256, 53, 245, 135, 127, 378, 233 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,15

LINKS

Table of n, a(n) for n=0..80.

Index entries for sequences related to partitions

EXAMPLE

a(14) = 2 because we have [11, 3] and [9, 5].

MATHEMATICA

Table[SeriesCoefficient[Product[1 + Boole[Mod[n, k] > 0 && OddQ[k]] x^k, {k, 1, n}], {x, 0, n}], {n, 0, 80}]

CROSSREFS

Cf. A000700, A098743, A171565, A200745, A209402, A294141.

Sequence in context: A054656 A080096 A322978 * A068915 A302193 A133925

Adjacent sequences:  A294139 A294140 A294141 * A294143 A294144 A294145

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Oct 23 2017

STATUS

approved

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Last modified October 25 08:40 EDT 2021. Contains 348239 sequences. (Running on oeis4.)