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A337995
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T(n, k) = A337994(n, k) / A099398(n). Triangle read by rows, for 0 <= k <= n.
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0
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1, 0, 2, 0, 3, 15, 0, 6, 30, 84, 0, 2, 10, 28, 60, 0, 12, 60, 168, 360, 660, 0, 3, 15, 42, 90, 165, 273, 0, 2, 10, 28, 60, 110, 182, 280, 0, 6, 30, 84, 180, 330, 546, 840, 1224, 0, 12, 60, 168, 360, 660, 1092, 1680, 2448, 3420, 0, 2, 10, 28, 60, 110, 182, 280, 408, 570, 770
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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EXAMPLE
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Triangle starts:
[0] 1
[1] 0, 2
[2] 0, 3, 15
[3] 0, 6, 30, 84
[4] 0, 2, 10, 28, 60
[5] 0, 12, 60, 168, 360, 660
[6] 0, 3, 15, 42, 90, 165, 273
[7] 0, 2, 10, 28, 60, 110, 182, 280
[8] 0, 6, 30, 84, 180, 330, 546, 840, 1224
[9] 0, 12, 60, 168, 360, 660, 1092, 1680, 2448, 3420
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MAPLE
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T := (n, k) -> `if`(n=0, 1, (k*(2*k+2)*(2*k+1)*(2*n-1)*binomial(2*(n-1), n-1))/(n*(n+1)*(n+2))/numer((2^(1-2*n)*binomial(2*n, n))/((n+1)*(n+2)))):
seq(seq(T(n, k), k=0..n), n=0..10);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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