A134185 Hankel transform of a transform of the central binomial coefficients A001405.
1, 2, 0, -8, -32, -256, 0, 16384, 262144, 8388608, 0, -8589934592, -549755813888, -70368744177664, 0, 1152921504606846976, 295147905179352825856, 151115727451828646838272, 0, -39614081257132168796771975168
Offset: 0
Formula
a(n) = ((1/2 - 1/sqrt(2))*cos(3*Pi*n/4) + (1/2 + 1/sqrt(2))*cos(Pi*n/4))*2^ceiling(binomial(n+1,2)/2).
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