A039808 Shifts left under transform T where Ta is product of Partition Triangle A008284 with a.

1, 1, 2, 4, 9, 20, 47, 109, 258, 609, 1447, 3434, 8175, 19449, 46327, 110330, 262882, 626317, 1492515, 3556540, 8475679, 20198343, 48136276, 114716767, 273393363, 651550405, 1552783297, 3700609736, 8819356189

Offset: 1

Author

Christian G. Bower, Feb 15 1999

Keywords

• nonn
• eigen

Crossrefs

Cf. A008284, A039809.

Formula

G.f.: x + x * Sum_{n>=1} a(n) * x^n / Product_{j=1..n} (1 - x^j). - Ilya Gutkovskiy, Jul 22 2021