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Search: id:A072285
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| A072285 |
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Numerators of inverse unimodal analogue of binomial coefficients: binomial(n,m)=sum_{k=0}^{n-m} a(2k+m-1,2k). |
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+0
2
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| 1, 1, 1, 1, 3, 1, 1, 15, 2, 1, 1, 35, 3, 5, 1, 1, 315, 4, 35, 3, 1, 1, 693, 5, 105, 6, 7, 1, 1, 3003, 6, 1155, 10, 63, 4, 1, 1, 6435, 7, 3003, 15, 231, 10, 9, 1, 1, 109395, 8, 15015, 21, 3003, 20, 99, 5, 1, 1, 230945, 9, 36465, 28, 9009, 35, 429, 15, 11, 1, 1, 969969, 10
(list; table; graph; listen)
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OFFSET
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0,5
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FORMULA
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a(n, m)=binomial(n-m/2+1, n-m+1)-binomial(n-m/2, n-m+1).
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MATHEMATICA
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a[n_, m_] := Binomial[n - m/2 + 1, n - m + 1] - Binomial[n - m/2, n - m + 1]; Flatten[Table[Numerator[a[n, m]], {n, 0, 11}, {m, 0, n}]]
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CROSSREFS
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Cf. A072286, A071922.
Sequence in context: A015112 A073483 A006956 this_sequence A110112 A060325 A135021
Adjacent sequences: A072282 A072283 A072284 this_sequence A072286 A072287 A072288
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KEYWORD
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nonn,easy,frac,tabl
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AUTHOR
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Michele Dondi (bik.mido(AT)tiscalinet.it), Jul 11, 2002
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