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A300862 Solution to 1 = Sum_y Product_{k in y} a(k) for each n > 0, where the sum is over all integer partitions of n with an odd number of parts. 6
1, 1, 0, 0, -1, -1, 0, 1, 1, 0, -2, -3, -2, 2, 7, 6, -3, -15, -19, -2, 32, 54, 24, -64, -153, -123, 95, 389, 444, -43, -966, -1475, -516, 2066, 4414, 3092, -3874, -12480, -12936, 3847, 32445, 45494, 8950, -77282, -147663, -86313, 157456, 435623, 399041, -229616, -1211479, -1535700, -73132 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,11
LINKS
MATHEMATICA
a[n_]:=a[n]=1-Sum[Times@@a/@y, {y, Select[IntegerPartitions[n], Length[#]>1&&OddQ[Length[#]]&]}];
Array[a, 40]
CROSSREFS
Sequence in context: A353623 A272181 A154179 * A151863 A365407 A366782
KEYWORD
sign
AUTHOR
Gus Wiseman, Mar 13 2018
STATUS
approved

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Last modified February 25 04:52 EST 2024. Contains 370310 sequences. (Running on oeis4.)