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A104982 Column 3 of triangle A104980, omitting leading zeros. +0
3
1, 4, 21, 133, 977, 8135, 75609, 775667, 8707057, 106185715, 1398451353, 19786121467, 299384925569, 4825081148819, 82531968286569, 1493412479919371, 28504390805515921, 572363196501249667, 12061937537478658809 (list; graph; listen)
OFFSET

0,2

COMMENT

Equals one-half of column 0 (after initial term) in triangle A104988, which equals the matrix square of triangle A104980.

FORMULA

a(n) = A104988(n+1, 0)/2 for n>=0.

PROGRAM

(PARI) {a(n)=if(n<0, 0, (matrix(n+4, n+4, m, j, if(m==j, 1, if(m==j+1, -m+1, -polcoeff((1-1/sum(i=0, m, i!*x^i))/x+O(x^m), m-j-1))))^-1)[n+4, 4])}

CROSSREFS

Cf. A104980, A104988.

Sequence in context: A078591 A090366 A131965 this_sequence A001909 A052852 A121124

Adjacent sequences: A104979 A104980 A104981 this_sequence A104983 A104984 A104985

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Apr 10 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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