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Search: id:A036916
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| A036916 |
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Sum(binomial(2*n-2*k,n-k)^2*binomial(n,k)^2,k=0..n). |
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+0
1
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| 1, 5, 53, 761, 12661, 229705, 4410665, 88127485, 1813270645, 38158684745, 817458330553, 17767242718285, 390819348043369, 8683822363169933, 194618212789162733, 4394243766346694161, 99862206804817230965, 2282427331053360624713
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OFFSET
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0,2
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REFERENCES
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Cf. M. Petkovsek et al., A=B, Peters, p. ix.
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FORMULA
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(n - 1)*(144*n^3 - 864*n^2 + 1693*n - 1075)*n^3*a(n) - 2*(n - 1)*(2592*n^6 - 19440*n^5 + 56322*n^4 - 80296*n^3 + 60004*n^2 - 23017*n + 3580)*a(n - 1) + (42336*n^7 - 423360*n^6 + 1769838*n^5 - 4006912*n^4 + 5293968*n^3 - 4062414*n^2 + 1661406*n - 274520)*a(n - 2) - 2*(34848*n^5 - 261360*n^4 + 741842*n^3 - 984642*n^2 + 598948*n - 127215)*(n - 2)^2*a(n - 3) + 225*(144*n^3 - 432*n^2 + 397*n - 102)*(n - 2)^2*(n - 3)^2*a(n - 4) = 0 - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 15 2004
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CROSSREFS
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Cf. A036915, A036917.
Sequence in context: A065534 A123788 A036910 this_sequence A118583 A090360 A123130
Adjacent sequences: A036913 A036914 A036915 this_sequence A036917 A036918 A036919
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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