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A049428 Row sums of triangle A049411. 6

%I

%S 1,1,6,36,246,2046,19716,209616,2441916,31050396,425883816,6244077456,

%T 97391939976,1609040166696,28029696862896,512903202039936,

%U 9829166157390096,196739739722616336,4102788435212513376,88945209649582514496,2000700796384204930656

%N Row sums of triangle A049411.

%H Seiichi Manyama, <a href="/A049428/b049428.txt">Table of n, a(n) for n = 0..485</a>

%H Vladimir Victorovich Kruchinin, <a href="http://arxiv.org/abs/1009.2565">Composition of ordinary generating functions</a>, arXiv:1009.2565 [math.CO], 2010.

%H W. Lang, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/LANG/lang.html"> On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

%F E.g.f.: exp((-1+(1+x)^6)/6).

%F a(n) = n! * Sum_{k=1..n} Sum_{j=0..k} binomial(6*j,n) *(-1)^(k-j)/ (6^k*(k-j)!*j!). - _Vladimir Kruchinin_, Feb 07 2011

%t nmax = 20;

%t a[n_, m_] := BellY[n, m, Table[k! Binomial[5, k], {k, 0, nmax}]];

%t a[0] = 1; a[n_] := Sum[a[n, m], {m, 1, n}];

%t Table[a[n], {n, 0, nmax}] (* _Jean-Fran├žois Alcover_, Jul 27 2018 *)

%Y Column k=5 of A293991.

%K easy,nonn

%O 0,3

%A _Wolfdieter Lang_

%E Offset adjusted by _R. J. Mathar_, Aug 29 2009

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Last modified June 18 12:19 EDT 2021. Contains 345104 sequences. (Running on oeis4.)