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A335954 a(n) = Numerator(-2*n*HurwitzZeta(1 - 2*n, -1/2)) for n > 0, and a(0) = 1. 1
1, 11, 127, 221, 367, -1895, 1447237, -57253, 118526399, -5749677193, 91546283957, -1792042789427, 1982765468376757, -286994504449237, 3187598676787485443, -4625594554880206360895, 16555640865486520494719, -22142170099387402072693, 904185845619475242495903560731 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = Numerator(Bernoulli(2*n, -1/2)).

MAPLE

a := n -> numer(`if`(n=0, 1, -2*n*Zeta(0, 1-2*n, -1/2))): seq(a(n), n=0..18);

MATHEMATICA

a[0] := 1; a[n_] := -2 n HurwitzZeta[1 - 2 n, -1/2]; Array[a, 18, 0] // Numerator

PROG

(PARI) a(n) = numerator(subst(bernpol(2*n, x), x, -1/2)); \\ Michel Marcus, Jul 21 2020

CROSSREFS

Cf. A033469 (denominators), A001896 (evaluated at x=+1/2).

Sequence in context: A296732 A156970 A174270 * A333244 A141987 A048394

Adjacent sequences:  A335951 A335952 A335953 * A335955 A335956 A335957

KEYWORD

sign

AUTHOR

Peter Luschny, Jul 21 2020

STATUS

approved

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Last modified September 25 13:01 EDT 2020. Contains 337344 sequences. (Running on oeis4.)