A100744 - OEIS

%I #5 Dec 20 2019 17:30:45

%S 1,-3,3,-9,15,-45,45,-135,255,-765,765,-2295,3825,-11475,11475,-34425,

%T 65535,-196605,196605,-589815,983025,-2949075,2949075,-8847225,

%U 16711425,-50134275,50134275,-150402825,250671375,-752014125,752014125

%N Inverse modulo 2 binomial transform of (-2)^n.

%C (-2)^n may be retrieved as sum{k=0..n, mod(binomial(n,k),2)*a(k)}.

%F a(n)=sum{k=0..n, (-1)^A010060(n-k)*mod(binomial(n, k), 2)(-2)^k}.

%K easy,sign

%O 0,2

%A _Paul Barry_, Dec 06 2004

%E Definition corrected by _N. J. A. Sloane_, Dec 20 2019