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A065329
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Square array read by antidiagonals giving number of binary trees of height n with k points on the n-th level (n,k>0).
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3
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1, 0, 2, 0, 1, 8, 0, 0, 8, 80, 0, 0, 4, 144, 4160, 0, 0, 1, 168, 13888, 5632640, 0, 0, 0, 138, 31776, 36109952, 5163215782400, 0, 0, 0, 80, 54792, 158572864, 64827181969920
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..35.
H. Bottomley, Illustration of initial terms
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FORMULA
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T(n, k)=Sum_j{2j >= k}[C(2j, k)*T(n-1, j)] starting with T(1, 1)=1 and T(1, k)=0 if k>1
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EXAMPLE
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Rows start (1,0,0,...), (2,1,0,0,...), (8,8,4,1,0,0,...), (80,144,168,138,80,32,8,1,0,0,...) etc.
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CROSSREFS
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Row sums are A001699. Cf. A073345 (A073429).
Sequence in context: A078341 A199459 A316649 * A108998 A309993 A248673
Adjacent sequences: A065326 A065327 A065328 * A065330 A065331 A065332
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley, Oct 29 2001
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STATUS
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approved
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