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A049348 Row sums of triangle A049324. +0
2
1, 4, 10, 25, 67, 172, 448, 1165, 3025, 7864, 20434, 53101, 137995, 358600, 931888, 2421673, 6293137, 16353820, 42498250, 110439121, 286995331, 745807444, 1938110800, 5036519125, 13088273857, 34012163632, 88386542578 (list; graph; listen)
OFFSET

1,2

COMMENT

p(2,x) is row polynomial corresponding to triangle row A033842(2,m).

LINKS

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

FORMULA

G.f.: x*(1+3*x+3*x^2)/(1-x-3*x^2-3*x^3)= x*p(2, x)/(1-x*p(2, x)) with x*p(2, x) G.f. for first column of A049324.

Limit_{n-->oo} a(n+1)/a(n) = 3/(10^(1/3)-1) = 2.5986745... - Paul D. Hanna (pauldhanna(AT)juno.com), Oct 13 2004

CROSSREFS

Sequence in context: A020709 A020734 A097136 this_sequence A001214 A022812 A000293

Adjacent sequences: A049345 A049346 A049347 this_sequence A049349 A049350 A049351

KEYWORD

easy,nonn

AUTHOR

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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