A144791 Euler transform of A141199.

1, 4, 11, 34, 93, 269, 735, 2037, 5515, 14912, 39828, 105931, 279408, 733409, 1913349, 4968092, 12835746, 33020764, 84586922, 215844162, 548725545, 1390140594, 3510064528, 8834980324, 22171254453, 55479601543, 138448505906, 344594242788, 855538158016

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..100

Thomas Wieder, The number of certain rankings and hierarchies formed from labeled or unlabeled elements and sets, Applied Mathematical Sciences, vol. 3, 2009, no. 55, 2707 - 2724. [Thomas Wieder, Nov 14 2009]

Formula

G.f.: 1 / Product_{k>=1} (1 - x^k)^A141199(k).

a(n) = (1/n)*Sum_{k=1..n-1} c(k) A141199(n-k),

where c(n) = Sum_{k|n} k*A141199(k).

Crossrefs

Cf. A141199, A144792, A144791.

Sequence in context: A062460 A098324 A327548 * A180305 A060925 A027045

Adjacent sequences: A144788 A144789 A144790 * A144792 A144793 A144794

Keyword

nonn

Author

Thomas Wieder, Sep 21 2008

Extensions

More terms from Alois P. Heinz, Apr 21 2012

Status

approved