A383034 Inverse Weigh transform of 2^(n-1).

1, 2, 2, 5, 6, 11, 18, 35, 56, 105, 186, 346, 630, 1179, 2182, 4115, 7710, 14588, 27594, 52482, 99858, 190743, 364722, 699216, 1342176, 2581425, 4971008, 9587574, 18512790, 35792449, 69273666, 134219795, 260300986, 505294125, 981706806, 1908881548, 3714566310

Offset: 1

Author

Seiichi Manyama, Apr 13 2025

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..3000
• Christian G. Bower, PARI programs for transforms, 2007.
• N. J. A. Sloane, Maple programs for transforms, 2001-2020.

Crossrefs

Column k=2 of A383033.

Cf. A000079, A209229, A306156.

Formula

a(n) = (1/n) * (2^n - 1 + Sum_{d

a(n) = A306156(n) - A209229(n).

Product_{k>=1} (1 + x^k)^a(k) = (1 - x)/(1 - 2*x).

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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