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Search: id:A049224
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| 1, 15, 1, 330, 30, 1, 8415, 885, 45, 1, 232254, 26730, 1665, 60, 1, 6735366, 825858, 58320, 2670, 75, 1, 202060980, 25992252, 2003562, 106560, 3900, 90, 1, 6213375135, 830282805, 68351283, 4038741, 174825, 5355, 105, 1, 194685754230
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n,1)= A025751(n); a(n,1)= 6^(n-1)*5*A034787(n-1)/n!, n >= 2. G.f. for m-th column: ((1-(1-36*x)^(1/6))/6)^m.
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LINKS
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W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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FORMULA
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a(n, m) = 6*(6*(n-1)-m)*a(n-1, m)/n + m*a(n-1, m-1)/n, n >= m >= 1; a(n, m) := 0, n<m; a(n, 0) := 0; a(1, 1)=1.
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CROSSREFS
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Cf. A048966, A049223. Row sums = A025759.
Sequence in context: A030527 A027467 A049375 this_sequence A027448 A027518 A027539
Adjacent sequences: A049221 A049222 A049223 this_sequence A049225 A049226 A049227
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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