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Search: id:A037967
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| A037967 |
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(C(2*n,n)^2+C(2*n,n))/2. |
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+0
1
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| 1, 3, 21, 210, 2485, 31878, 427350, 5891028, 82824885, 1181976510, 17067482146, 248817506028, 3656231188246, 54086245380300, 804670817838300, 12030722583033960, 180648817921816245
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OFFSET
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0,2
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REFERENCES
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The right-hand side of a binomial coefficient identity in H. W. Gould, Combinatorial Identities, Morgantown, 1972, Eq. (3.82), page 31.
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FORMULA
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Sum_{k=0..n} (-1)^k*C(2n, k)^2 = (1/2)*(-1)^n*{ C(2n, n)^2+C(2n, n) }.
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CROSSREFS
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Sequence in context: A136223 A114469 A097690 this_sequence A123691 A087918 A088926
Adjacent sequences: A037964 A037965 A037966 this_sequence A037968 A037969 A037970
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KEYWORD
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nonn
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AUTHOR
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njas
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