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A016036 Row sums of triangle A000369. +0
5
1, 4, 31, 361, 5626, 109951, 2585269, 71066626, 2236441141, 79289379361, 3127129674736, 135802922499949, 6439320471558781, 331026965612789356, 18338413238239145731, 1089132347371148170381, 69033182553940825258594 (list; graph; listen)
OFFSET

1,2

LINKS

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

FORMULA

E.g.f. exp(1-(1-4*x)^(1/4))-1.

Recursion: a(n)= 6*(2*n-5)*a(n-1)-3*(16*n^2-96*n+145)*a(n-2)+2*(4*n-15)*(2*n-7)*(4*n-13)*a(n-3)+a(n-4), n >= 4; a(0) := 1, a(1)=1, a(2)=4, a(3)=31.

CROSSREFS

Cf. A001515, A015735.

Sequence in context: A136728 A102757 A086677 this_sequence A000314 A128709 A138860

Adjacent sequences: A016033 A016034 A016035 this_sequence A016037 A016038 A016039

KEYWORD

nonn

AUTHOR

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

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Last modified July 25 02:12 EDT 2008. Contains 142294 sequences.


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