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Search: id:A092868
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| A092868 |
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Coefficients c[r,n] in Schmidt's problem Sum[Binomial[n,k]^r Binomial[n+k,k]^r,{k,0,n}] == Sum[Binomial[n,k]Binomial[n+k,k]c[r,k],{k,0,n}] for r=4. |
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2
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| 1, 8, 424, 48896, 6672232, 1022309408, 176808084544, 33055112886272, 6507475475389288, 1336577286762538496, 284198765977135568224, 62135041920796512325952, 13901968841738902540019776
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OFFSET
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0,2
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LINKS
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Eric Weisstein's World of Mathematics, Schmidt's Problem
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MATHEMATICA
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c[4, n_] := Sum[Binomial[2j, j]^3Binomial[n, j]Binomial[k+j, k-j]Binomial[j, n-k]Binomial[k, j]Binomial[2j, k-j], {k, 0, n}, {j, 0, n}]
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CROSSREFS
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Cf. A000172, A000658.
Fourth row of array A094424.
Sequence in context: A015091 A008274 A038781 this_sequence A038782 A024110 A132099
Adjacent sequences: A092865 A092866 A092867 this_sequence A092869 A092870 A092871
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Mar 08, 2004
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