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A302199
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Hurwitz inverse of partition numbers A000041.
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2
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1, -1, 0, 3, -5, -17, 103, 55, -2680, 6720, 82446, -642698, -2087303, 53641331, -96015983, -4454066000, 35131380473, 323923309109, -6776856484915, -3620043398324, 1159030195119059, -7865002945782432, -175052008152354596, 3163635176513031787
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OFFSET
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0,4
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COMMENTS
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In the ring of Hurwitz sequences all members have offset 0.
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REFERENCES
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Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885
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LINKS
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FORMULA
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E.g.f. = 1 / Sum_{n >= 0} partition(n)*x^n/n!.
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MAPLE
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# first load Maple commands for Hurwitz operations from link in A302189.
with(combinat);
s:=[seq(numbpart, n=0..40)];
Hinv(s);
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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