A164583 a(n) = 4^n*(2n + 1)^2.

1, 36, 400, 3136, 20736, 123904, 692224, 3686400, 18939904, 94633984, 462422016, 2218786816, 10485760000, 48922361856, 225754218496, 1031865892864, 4677219385344, 21045339750400, 94076963651584, 418089296461824

Offset: 0

Author

Paul Barry, Aug 17 2009

Keywords

• easy
• nonn

Comments

The aerated signed sequence 0,-1,0,36,0,-400,... with general term -(-4)^((n-1)/2)*n^2*(1-(-1)^n)/2

is the Hankel transform of the aeration 0,1,0,6,0,30,0,140,... of A002457.

Links

• Index entries for linear recurrences with constant coefficients, signature (12,-48,64).

Formula

G.f.: (1+24x+16x^2)/(1-4x)^3.