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A049348
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Row sums of triangle A049324.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| p(2,x) is row polynomial corresponding to triangle row A033842(2,m).
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LINKS
| W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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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
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CROSSREFS
| Sequence in context: A020709 A020734 A097136 * A145775 A001214 A200455
Adjacent sequences: A049345 A049346 A049347 * A049349 A049350 A049351
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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