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A049426 Row sums of triangle A049410. 3
1, 1, 4, 16, 76, 436, 2776, 19384, 148576, 1226656, 10824256, 101695936, 1010783104, 10577428096, 116166090496, 1334409569536, 15985101216256, 199216504113664, 2577292524107776, 34542575915216896, 478781761481291776 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

LINKS

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)^4)/4).

a(n)=n!*sum(k=1..n, sum(j=0..k, binomial(4*j,n)*(-1)^(k-j)/(4^k*(k-j)!*j!)))

[From Vladimir Kruchinin (kru(AT)ie.tusur.ru), Feb 7 2011]

CROSSREFS

Sequence in context: A094559 A199214 A200725 * A057725 A196192 A159926

Adjacent sequences:  A049423 A049424 A049425 * A049427 A049428 A049429

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 13 05:36 EST 2012. Contains 205436 sequences.