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Search: id:A048897
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| 5, 1, 45, 15, 1, 585, 255, 30, 1, 9945, 5175, 825, 50, 1, 208845, 123795, 24150, 2025, 75, 1, 5221125, 3427515, 775845, 80850, 4200, 105, 1, 151412625, 108046575, 27478710, 3363045, 219450, 7770, 140, 1, 4996616625, 3824996175, 1069801425
(list; table; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n, m) = n!*A048881(n, m)/(m!*4^(n-m)); a(n+1, m) = (4*n+m)*a(n, m)+ a(n, m-1), n >= m >= 1; a(n, m) := 0, n<m; a(n, 0) := 0, a(1, 1)=1; E.g.f. of m-th column: ((-1+(1-4*x)^(-1/4)))^m)/m!.
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EXAMPLE
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{1}; {5,1}; {45,15,1}; {585,255,30,1}; {9945,5175,825,50,1}; ...
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CROSSREFS
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The fifth triangle in the sequence A008277 (Stirling second kind), A008297(Lah-numbers), A035342, A035469. Cf. A048881, A008277.
Sequence in context: A134275 A114154 A134273 this_sequence A049029 A051150 A013988
Adjacent sequences: A048894 A048895 A048896 this_sequence A048898 A048899 A048900
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KEYWORD
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easy,nice,nonn,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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