A380952 a(n) = 2^(2*n - HammingWeight(n)) * [x^n] ((x - 1)^(-2) - (1 - x)^(-3/2)).

0, 1, 9, 29, 325, 843, 4165, 9949, 185517, 424415, 1913615, 4263339, 37624977, 82338487, 357893805, 773201629, 26589395581, 56890356903, 242472512971, 514886606335, 4359509125419, 9201491830421, 38741978206771, 81367413504171, 1364185459323625, 2853307081197859

Offset: 0

Author

Peter Luschny, Mar 06 2025

Keywords

• nonn

Crossrefs

Cf. A046161, A000120, A098597, A001790, A173384, A380951.

Programs

Maple

gf := (x - 1)^(-2) - (1 - x)^(-3/2): ser := series(gf, x, 32):
seq(2^(2*n - add(convert(n, base, 2))) * coeff(ser, x, n), n = 0..25);