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Search: id:A001142
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| A001142 |
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a(n) = product{k=1,...n} k^(2k-1-n).
(Formerly M1953 N0773)
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+0
12
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| 1, 1, 2, 9, 96, 2500, 162000, 26471025, 11014635520, 11759522374656, 32406091200000000, 231627686043080250000, 4311500661703860387840000, 209706417310526095716965894400, 26729809777664965932590782608648192
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Absolute value of determinant of triangular matrix containing binomial coefficients.
These are also the products of consecutive horizontal rows of the Pascal triangle. - Jeremy Hehn (ROBO_HEN5000(AT)rose.net), Mar 29 2007
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.
Problem 1636, Mathematics Magazine, Dec. 2001, p. 403.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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FORMULA
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a(n) = C(n, 0)*C(n, 1)* ... *C(n, n).
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MAPLE
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a:=n->mul(binomial(n, k), k=0..n): seq(a(n), n=0..14); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 22 2008
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PROGRAM
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(PARI) for(n=0, 16, print(prod(m=1, n, binomial(n, m))))
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CROSSREFS
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Sequence in context: A106343 A086992 A115965 this_sequence A111847 A013132 A013057
Adjacent sequences: A001139 A001140 A001141 this_sequence A001143 A001144 A001145
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 01 2000. Better description from Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 30 2001
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