A141124 Hankel transform of a transform of Jacobsthal numbers.

1, 5, -9, -9, 17, 13, -25, -17, 33, 21, -41, -25, 49, 29, -57, -33, 65, 37, -73, -41, 81, 45, -89, -49, 97, 53, -105, -57, 113, 61, -121, -65, 129, 69, -137, -73, 145, 77, -153, -81, 161, 85, -169, -89, 177, 93, -185, -97, 193, 101, -201

Offset: 0

Author

Paul Barry, Jun 05 2008

Keywords

• easy
• sign

Comments

Hankel transform of A100096(n+1).

Links

• Index entries for linear recurrences with constant coefficients, signature (0,-2,0,-1)

Crossrefs

Cf. A017077 (unsigned bisection), A016813 (unsigned bisection).

Formula

G.f.: (1+5x-7x^2+x^3)/(1+2x^2+x^4); a(n)=(4n+1)*cos(pi*n/2)+(2n+3)*sin(pi*n/2);