A066816 Expansion of Product_{k>=1} (1 + A001055(k)*x^k).

1, 1, 1, 2, 3, 4, 6, 8, 10, 15, 20, 25, 36, 46, 58, 78, 95, 120, 160, 198, 249, 318, 392, 485, 608, 745, 914, 1140, 1390, 1692, 2092, 2528, 3032, 3709, 4468, 5364, 6494, 7770, 9279, 11161, 13347, 15824, 18920, 22465, 26539, 31607, 37345, 43994, 52016

Offset

0,4

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1, g(n) = -A001055(n). - Seiichi Manyama, Nov 14 2018

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

a(n) = (1/n)*Sum_{k=1..n} a(n-k)*b(k), n > 0, a(0)=1, b(k) = Sum_{d|k} (-1)^(k/d+1)*d*(A001055(d))^(k/d).

Crossrefs

Cf. A001055, A066739, A066806.

Sequence in context: A343502 A238876 A211856 * A247334 A237450 A165514

Adjacent sequences: A066813 A066814 A066815 * A066817 A066818 A066819

Keyword

nonn

Author

Vladeta Jovovic, Jan 20 2002

Status

approved