A346710 - OEIS

A346710

The denominators of the semiderivative of the Bernoulli polynomials at x = 1 and normalized by sqrt(Pi).

1, 1, 3, 5, 105, 63, 77, 6435, 6435, 663, 24871, 1322685, 45885, 68425, 294975, 1479, 4083810885, 46725525, 46940355, 80555475, 509285205, 471824925, 5147492805, 116197611075, 3848337675, 111954046295, 46499760153, 21364716527, 1238763451695, 149973995325

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OFFSET

0,3

COMMENTS

The semiderivative is the fractional derivative of order 1/2. The Davison-Essex method is used. See A346709 for formulas and references.

LINKS

Table of n, a(n) for n=0..29.

MAPLE

r := n -> int(diff(bernoulli(n, t), t) / sqrt(1 - t), t = 0..1):

a := n -> denom(r(n)): seq(a(n), n = 0..9);

# Alternative:

fb := n -> sqrt(Pi)*fracdiff(bernoulli(n, x), x, 1/2):