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Search: id:A027540
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| 3, 16, 55, 156, 399, 960, 2223, 5020, 11143, 24432, 53079, 114492, 245535, 524032, 1113823, 2358972, 4980375, 10485360, 22019655, 46136860, 96468463, 201326016, 419429775, 872414556, 1811938599, 3758095600, 7784627383, 16106126460
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OFFSET
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2,1
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FORMULA
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Numerators of sequence a[ n, n-1 ] in (a[ i, j ])^2 where a[ i, j ] = A(i, j)/i! if j<=i, 0 if j>i
a(n) = (n+1)*(2^n-n-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 18 2002
G.f.: x^2*(-3+5*x)/((2*x-1)^2*(x-1)^3) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 14 2009]
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MAPLE
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a:=n->sum(k*binomial(n, k), k=3..n): seq(a(n), n=3..30); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2007
a:=n->sum(sum(binomial(n, j), j=2..n), k=0..n): seq(a(n), n=2..29); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2007
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CROSSREFS
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Sequence in context: A000574 A041233 A055194 this_sequence A099851 A005550 A062474
Adjacent sequences: A027537 A027538 A027539 this_sequence A027541 A027542 A027543
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KEYWORD
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nonn
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
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G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.
More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 18 2002
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