A100746 Inverse modulo 2 binomial transform of Jacobsthal numbers J(n).

0, 1, 1, 1, 5, 5, 15, 15, 85, 85, 255, 255, 1275, 1275, 3825, 3825, 21845, 21845, 65535, 65535, 327675, 327675, 983025, 983025, 5570475, 5570475, 16711425, 16711425, 83557125, 83557125, 250671375, 250671375, 1431655765, 1431655765, 4294967295

Offset

0,5

Comments

J(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..34.

Formula

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

Crossrefs

Cf. A001045.

Sequence in context: A189976 A188272 A104551 * A185785 A185905 A341244

Adjacent sequences: A100743 A100744 A100745 * A100747 A100748 A100749

Keyword

easy,nonn

Author

Paul Barry, Dec 06 2004

Extensions

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

Status

approved