A038200 Row sums of triangle K(m, n), inverse to triangle T(m,n) in A020921.

1, 0, -1, 3, -8, 21, -54, 134, -318, 720, -1560, 3259, -6641, 13391, -27107, 55657, -116244, 245823, -521738, 1101566, -2299215, 4730990, -9601095, 19273729, -38446742, 76598275, -153119606, 308061214, -624460449, 1274268038, -2611866713, 5362888620, -11003127203, 22516189988

Offset: 1

Author

Temba Shonhiwa (Temba(AT)maths.uz.ac.zw)

Keywords

• sign

Comments

The triangle K is A126713.

Links

• Temba Shonhiwa, A Generalization of the Euler and Jordan Totient Functions, Fib. Quart., 37 (1999), 67-76.
• N. J. A. Sloane, Transforms

Crossrefs

Cf. A126713, A020921.

Formula

Inverse binomial transform of tau(n) = A000005(n): Sum_{k=0..n} (-1)^(n-k)*binomial(n, k)*A000005(k). - Vladeta Jovovic, Oct 29 2002

E.g.f.: exp(-x)*Sum_{k>=1} d(k)*x^k/k!. - Ilya Gutkovskiy, Nov 26 2017

Extensions

Better description from Michael Somos