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A049428 Row sums of triangle A049411. 6
1, 1, 6, 36, 246, 2046, 19716, 209616, 2441916, 31050396, 425883816, 6244077456, 97391939976, 1609040166696, 28029696862896, 512903202039936, 9829166157390096, 196739739722616336, 4102788435212513376, 88945209649582514496, 2000700796384204930656 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..485

Vladimir Victorovich Kruchinin, Composition of ordinary generating functions, arXiv:1009.2565 [math.CO], 2010.

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

FORMULA

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

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

MATHEMATICA

nmax = 20;

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

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

Table[a[n], {n, 0, nmax}] (* Jean-Fran├žois Alcover, Jul 27 2018 *)

CROSSREFS

Column k=5 of A293991.

Sequence in context: A181964 A199422 A049431 * A129063 A221461 A090015

Adjacent sequences:  A049425 A049426 A049427 * A049429 A049430 A049431

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

EXTENSIONS

Offset adjusted by R. J. Mathar, Aug 29 2009

STATUS

approved

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Last modified April 19 05:26 EDT 2021. Contains 343105 sequences. (Running on oeis4.)