A100744 Inverse modulo 2 binomial transform of (-2)^n.

1, -3, 3, -9, 15, -45, 45, -135, 255, -765, 765, -2295, 3825, -11475, 11475, -34425, 65535, -196605, 196605, -589815, 983025, -2949075, 2949075, -8847225, 16711425, -50134275, 50134275, -150402825, 250671375, -752014125, 752014125

Offset

0,2

Comments

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

Links

Table of n, a(n) for n=0..30.

Formula

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

Crossrefs

Sequence in context: A147471 A062510 A000200 * A331519 A285883 A232948

Adjacent sequences: A100741 A100742 A100743 * A100745 A100746 A100747

Keyword

easy,sign

Author

Paul Barry, Dec 06 2004

Extensions

Definition corrected by N. J. A. Sloane, Dec 20 2019

Status

approved