A383035 Inverse Weigh transform of 3^(n-1).

1, 3, 6, 18, 42, 113, 294, 798, 2128, 5823, 15918, 43998, 122010, 340617, 954394, 2686728, 7588770, 21509824, 61144062, 174289710, 498012094, 1426229109, 4092816966, 11767220068, 33890202192, 97761550215, 282424564744, 817018885362, 2366546223930, 6863002420335

Offset: 1

Author

Seiichi Manyama, Apr 13 2025

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..2000
• Christian G. Bower, PARI programs for transforms, 2007.
• N. J. A. Sloane, Maple programs for transforms, 2001-2020.

Crossrefs

Column k=3 of A383033.

Cf. A306156, A306157.

Formula

a(n) = (1/n) * (3^n - 2^n + Sum_{d

a(n) = A306157(n) - A306156(n).

Product_{k>=1} (1 + x^k)^a(k) = (1 - 2*x)/(1 - 3*x).

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

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