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A214445
a(n) = Euler(2*n)*binomial(4*n,2*n).
3
1, -6, 350, -56364, 17824950, -9334057876, 7308698191340, -7997684730384600, 11655857682806336550, -21824608434847162167300, 51054382673481634917970500, -145916894745749901373155951720, 500306549034304293474784779805500, -2026855002861172152744641068895033544
OFFSET
0,2
COMMENTS
Central column of the nonzero coefficients of the Swiss-Knife polynomials, a(n) = A153641(4*n, 2*n).
FORMULA
a(n) = (-1)^n * A086646(2n,n). - Alois P. Heinz, Apr 27 2023
PROG
(Sage)
def A214445(n) : return binomial(4*n, 2*n)*euler_number(2*n)
CROSSREFS
Sequence in context: A211089 A221923 A000409 * A059415 A246112 A197780
KEYWORD
sign
AUTHOR
Peter Luschny, Jul 18 2012
STATUS
approved