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Search: id:A109767
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| A109767 |
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Triangle T(n,k), 0<=k<=n, defined by T(n,k) = 2^k*A001497(n,k). |
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+0
1
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| 1, 2, 2, 12, 12, 4, 120, 120, 48, 8, 1680, 1680, 720, 160, 16, 30240, 30240, 13440, 3360, 480, 32, 665280, 665280, 302400, 80640, 13440, 1344, 64, 17297280, 17297280, 7983360, 2217600, 403200, 48384, 3584, 128, 518918400, 518918400
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Also square array of unsigned coefficients of Hermite = polynomials.
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FORMULA
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T(n, k) = (2n-k)!*2^k/(k!*(n-k)!).
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EXAMPLE
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Rows begin:
1
2, 2,
12, 12, 4,
120, 120, 48, 8,
1680, 1680, 720, 160, 16,
Unsigned coefficients of Hermite polynomials:
1, 2, 4, 8, 16, ...
2, 12, 48, 160, ...
12, 120, 720, 3360, ...
120, 1680, 13440, 80640, ...
1680, 30240, 302400, 2217600, ...
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CROSSREFS
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Sequence in context: A073768 A096855 A024538 this_sequence A131121 A055772 A025527
Adjacent sequences: A109764 A109765 A109766 this_sequence A109768 A109769 A109770
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KEYWORD
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nonn,tabl,nice
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 12 2005
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