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A302191
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Numerators of Hurwitz inverse of primes [2,3,5,7,...].
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5
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1, -3, 1, -5, -7, 97, -403, 3795, 1683, -67403, 141662, -5744835, -710829, 124489961, -7187558877, 247099181979, -43618981401, -2710990422171, 16455095049450, -1725616801459565, 2828334020055989, 58332444583336295, -2708485501761494555
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OFFSET
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0,2
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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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EXAMPLE
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1/2, -3/4, 1, -5/8, -7/2, 97/4, -403/4, 3795/16, 1683/2, -67403/4, 141662, -5744835/8, -710829/2, 124489961/2, -7187558877/8, ...
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MAPLE
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# first load Maple commands for Hurwitz operations from link
s:=[seq(ithprime(n), n=1..64)];
Hinv(s);
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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