A049348 Row sums of triangle A049324.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..27.

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, Oct 13 2004

Crossrefs

Sequence in context: A289245 A347725 A097136 * A282389 A361611 A145775

Adjacent sequences: A049345 A049346 A049347 * A049349 A049350 A049351

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved