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A144791 Euler transform of A141199. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 17 02:04 EDT 2019. Contains 328106 sequences. (Running on oeis4.)