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Search: id:A059720
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| A059720 |
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Triangle T(n,k), 0<=k<=n, formed from coefficients when formula for n-th diagonal of triangle in A059718 is written as a sum of binomial coefficients. |
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+0
7
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| 1, 0, 1, 0, 2, 1, 0, 5, 6, 2, 0, 15, 29, 20, 5, 0, 55, 148, 158, 80, 16, 0, 239, 818, 1185, 910, 366, 61, 0, 1199, 4964, 9094, 9392, 5696, 1904, 272, 0, 6810, 32989, 73026, 94833, 77011, 38719, 11080, 1385, 0, 43108, 238931, 619904, 970152, 988040, 663904, 285424, 71424, 7936
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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I would very much like to find a formula for this - N. J. A. Sloane (njas(AT)research.att.com).
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EXAMPLE
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1; 0,1; 0,2,1; 0,5,6,2; 0,15,29,20,5; ... E.g. the n=3 diagonal in A059718 has the formula b(m) = 0 + 5*m + 6*C(m,2) + 2*C(m,3) and so the third row here is 0, 5, 6, 2.
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CROSSREFS
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Interesting because it connects a mysterious sequence (A059219, the left edge) with a known sequence (A000111, the right edge). Cf. A059724, A059725, A059726.
Sequence in context: A030206 A133336 A130191 this_sequence A140589 A137477 A157982
Adjacent sequences: A059717 A059718 A059719 this_sequence A059721 A059722 A059723
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KEYWORD
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nonn,tabl,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 09 2001
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