A380951 a(n) = 2^(2*n - HammingWeight(n)) * [x^n] ((1 - x)^(-5/2) - (x - 1)^(-2)).

0, 1, 11, 41, 515, 1467, 7847, 20081, 397923, 961255, 4552845, 10609519, 97582823, 221879063, 999384495, 2232200321, 79200753059, 174525593247, 764867505329, 1667683433315, 14479516479981, 31302413221189, 134846186300129, 289480028851479, 4956344862563975, 10577819852813291

Offset: 0

Author

Peter Luschny, Mar 06 2025

Keywords

• nonn

Crossrefs

Cf. A046161, A000120, A098597, A001790, A173384, A380952.

Programs

Maple

gf := (1 - x)^(-5/2) - (x - 1)^(-2): ser := series(gf, x, 32):
seq(2^(2*n - add(convert(n, base, 2))) * coeff(ser, x, n), n = 0..22);