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Search: id:A037966
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| 0, 1, 8, 54, 320, 1750, 9072, 45276, 219648, 1042470, 4862000, 22355476, 101582208, 457002364, 2038517600, 9026235000, 39710085120, 173712232710, 756088415280, 3276123843300, 14138105520000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n)=(n+1)^2*A000984 a(n)=(n+1)*A037965 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007
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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.
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FORMULA
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Sum {k=0..n, k^2*C(n, k)^2 }. - Paul Barry (pbarry(AT)wit.ie), Mar 04 2003
a(n)=(n+1)^2*C(2*n,n), n>=-1 . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007
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MAPLE
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seq((n+1)^2*binomial(2*n, n), n=-1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007
a:=n->sum(sum(binomial(2*n, n), j=0..n), k=0..n): seq(a(n), n=-1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2007
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CROSSREFS
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Cf. A000984, A037965.
Sequence in context: A085540 A122657 A152692 this_sequence A091433 A081899 A057970
Adjacent sequences: A037963 A037964 A037965 this_sequence A037967 A037968 A037969
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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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