OFFSET
0,3
FORMULA
E.g.f.: 2*((1 + sinh(x))*exp(x) - sinh(x)) / (exp(x)*(1 + exp(2*x))).
a(2n+1) = 1 - 2^(2n+1);
1 = sum_{k=0..2n} C(2n, k)*a(k);
1 = sum_{k=0..2n-1} 2^(2n-1-k)*C(2n-1, k)*a(k).
EXAMPLE
a(11) = 1 - 2^11 = -2047.
First binomial = {1, 0, 1, -3, 1, 15, 1, -273, 1, 7935, 1, -353793,..};
Second binomial = {1, 1, 2, 1, -4, 1, 62, 1, -1384, 1, 50522, 1, -2702764,..}.
CROSSREFS
KEYWORD
sign
AUTHOR
Paul D. Hanna, Nov 22 2003
STATUS
approved