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A344917
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a(n) = numerator(4^(n + 1)*zeta(-n, 1/4)).
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1
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1, 1, -1, -7, 5, 31, -61, -127, 1385, 511, -50521, -1414477, 2702765, 8191, -199360981, -118518239, 19391512145, 5749691557, -2404879675441, -91546277357, 370371188237525, 162912981133, -69348874393137901, -1982765468311237, 15514534163557086905, 22076500342261
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OFFSET
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0,4
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LINKS
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FORMULA
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EXAMPLE
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Rational sequence starts: 1, 1/6, -1, -7/60, 5, 31/126, -61, -127/120, 1385, ...
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MAPLE
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seq(numer(4^(n+1)*Zeta(0, -n, 1/4)), n=0..25);
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PROG
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(SageMath)
def a(n): return 4^(n+1)*hurwitz_zeta(-n, 1/4) if n > 0 else 1
print([a(n).numerator() for n in (0..25)])
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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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