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A099759
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Triangle read by rows: T(n,0)=1, T(n,n)=1 T(m,n)=2*(m-n)*T(m-1,n-1)+2*n*T(m-1,n).
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1
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1, 1, 1, 1, 4, 1, 1, 12, 12, 1, 1, 30, 96, 30, 1, 1, 68, 564, 564, 68, 1, 1, 146, 2800, 6768, 2800, 146, 1, 1, 304, 12660, 63008, 63008, 12660, 304, 1, 1, 622, 54288, 504648, 1008128, 504648, 54288, 622, 1, 1, 1260, 225860, 3679344, 13111504, 13111504
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| Sum(k=0..n: T(n, k))=2*(n-1)*Sum(k=0..n-1: T(n-1, k))+2 = A099760.
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EXAMPLE
| Triangle begins:
1
1 1
1 4 1
1 12 12 1
1 30 96 30 1
1 68 564 564 68 1
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MAPLE
| T:=proc(n, k) if k=0 or n=k then 1 elif k>n then 0 else 2*(n-k)*T(n-1, k-1)+2*k*T(n-1, k) fi end: for n from 0 to 10 do [seq(T(n, k), k=0..n)] od; # gives the triangle row by row (Deutsch)
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CROSSREFS
| Cf. A060187, A099760.
Sequence in context: A154372 A080416 A168619 * A072590 A111636 A146990
Adjacent sequences: A099756 A099757 A099758 * A099760 A099761 A099762
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KEYWORD
| easy,tabl,nonn
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AUTHOR
| Miklos Kristof (kristmikl(AT)freemail.hu), Nov 11 2004
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 16 2004
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