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Search: id:A049213
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| 1, 6, 1, 56, 12, 1, 616, 148, 18, 1, 7392, 1904, 276, 24, 1, 93632, 25312, 4080, 440, 30, 1, 1230592, 344960, 59808, 7360, 640, 36, 1, 16612992, 4792128, 876960, 118224, 11960, 876, 42, 1, 228890112, 67586816, 12900416, 1860992, 209200, 18096, 1148
(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)= A025749(n); a(n,1)= 4^(n-1)*3*A034176(n-1)/n!, n >= 2. G.f. for m-th column: ((1-(1-16*x)^(1/4))/4)^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) = 4*(4*(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. Row sums = A025757.
Sequence in context: A090435 A136237 A083837 this_sequence A165886 A056218 A134279
Adjacent sequences: A049210 A049211 A049212 this_sequence A049214 A049215 A049216
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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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