A100737 Inverse modulo 2 binomial transform of 4^n.

1, 3, 15, 45, 255, 765, 3825, 11475, 65535, 196605, 983025, 2949075, 16711425, 50134275, 250671375, 752014125, 4294967295, 12884901885, 64424509425, 193273528275, 1095216660225, 3285649980675, 16428249903375, 49284749710125

Offset

0,2

Comments

4^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..23.

Formula

a(n)=sum{k=0..n, (-1)^A010060(n-k)*mod(binomial(n, k), 2)4^k}.

Crossrefs

Sequence in context: A260021 A005560 A100747 * A178669 A110464 A261505

Adjacent sequences: A100734 A100735 A100736 * A100738 A100739 A100740

Keyword

easy,nonn

Author

Paul Barry, Dec 06 2004

Status

approved