OFFSET
0,2
FORMULA
a(n) = binomial(2*n, n) * |Euler(n) - 2^n*Euler(n, 0)|.
a(n) = A109449(2*n, n) for n >= 1.
a(n) = (-1)^binomial(n, 2) * binomial(2*n, n) * A163747(n).
a(n) ~ 2^(3*n + 5/2) * n^n / (Pi^(n+1) * exp(n)). - Vaclav Kotesovec, May 06 2021
MAPLE
a := n -> binomial(2*n, n)*abs(euler(n) - 2^n*euler(n, 0)):
seq(a(n), n=0..19);
MATHEMATICA
Table[Binomial[2*n, n]*Abs[EulerE[n] - 2^n*EulerE[n, 0]], {n, 0, 20}] (* Vaclav Kotesovec, May 06 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, May 06 2021
STATUS
approved