A141134 Hankel transform of C(2n+4,n+4).

1, -8, 8, 1, 1, -16, 16, 1, 1, -24, 24, 1, 1, -32, 32, 1, 1, -40, 40, 1, 1, -48, 48, 1, 1, -56, 56, 1, 1, -64, 64, 1, 1, -72, 72, 1, 1, -80, 80, 1, 1, -88, 88, 1, 1, -96, 96, 1, 1, -104, 104

Offset: 0

Author

Paul Barry, Jun 06 2008

Keywords

• easy
• sign

Comments

Hankel transform of A002694(n+2).

Hankel transform of A002694(n+1) is sin(Pi*n/2)*(cos(Pi*n)/2-1/2).

Links

• Index entries for linear recurrences with constant coefficients, signature (-2,-3,-4,-3,-2,-1).

Crossrefs

Cf. A002694.

Programs

Mathematica

LinearRecurrence[{-2,-3,-4,-3,-2,-1},{1,-8,8,1,1,-16},60] (* Harvey P. Dale, Jun 22 2025 *)

Formula

G.f.: ( 1-6*x-5*x^2-3*x^3-2*x^4-x^5 ) / ( (1+x)^2*(x^2+1)^2 ).