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A344915
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T(n, k) = (3^(-k)*n!*2^(n - 3*k))/(k!*(n - 3*k)!), for n >= 0 and 0 <= k <= floor(n/3). Triangle read by rows.
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0
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1, 2, 4, 8, 2, 16, 16, 32, 80, 64, 320, 40, 128, 1120, 560, 256, 3584, 4480, 512, 10752, 26880, 2240, 1024, 30720, 134400, 44800, 2048, 84480, 591360, 492800, 4096, 225280, 2365440, 3942400, 246400, 8192, 585728, 8785920, 25625600, 6406400
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OFFSET
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0,2
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LINKS
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EXAMPLE
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[ 0] 1;
[ 1] 2;
[ 2] 4;
[ 3] 8, 2;
[ 4] 16, 16;
[ 5] 32, 80;
[ 6] 64, 320, 40;
[ 7] 128, 1120, 560;
[ 8] 256, 3584, 4480;
[ 9] 512, 10752, 26880, 2240;
[10] 1024, 30720, 134400, 44800;
[11] 2048, 84480, 591360, 492800;
[12] 4096, 225280, 2365440, 3942400, 246400.
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MAPLE
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t := (n, k) -> k^n*n!: s := (n, k) -> 2^(3*k)*(n - 3*k)!:
T := (n, k) -> t(n, 2) / (t(k, 3) * s(n, k)):
seq(lprint([n], seq(T(n, k), k = 0..n/3)), n = 0..12);
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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