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Search: id:A093567
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| A093567 |
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Binomial (Binomial (n,2), 3) - Binomial (Binomial (n,3), 2). |
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+0
1
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| 0, 1, 14, 75, 265, 735, 1736, 3654, 7050, 12705, 21670, 35321, 55419, 84175, 124320, 179180, 252756, 349809, 475950, 637735, 842765, 1099791, 1418824, 1811250, 2289950, 2869425, 3565926, 4397589, 5384575, 6549215, 7916160, 9512536
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OFFSET
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2,3
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COMMENT
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A093566 >= A054563 ==> C( C(n,2), 3) >= C( C(n,3), 2) ==> n^2*(n^4 + 3n^3 -35n^2 + 69n -38)/144 >= 0 ==> (n - 2)(n - 1)(n^2 + 6n - 19) ==> 0 which it is for all n >= 2.
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REFERENCES
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Solomon W. Golomb, Iterated binomial coefficients, Amer. Math. Monthly, 87 (1980), 719-727.
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FORMULA
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A093566 - A054563.
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MATHEMATICA
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Table[ Binomial[ Binomial[n, 2], 3] - Binomial[ Binomial[n, 3], 2], {n, 2, 34}]
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CROSSREFS
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Sequence in context: A146563 A167633 A108650 this_sequence A152100 A010821 A022706
Adjacent sequences: A093564 A093565 A093566 this_sequence A093568 A093569 A093570
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com) and Santino Spadaro (spadaro(AT)nabanassar.com), Mar 31 2004
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