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Search: id:A126987
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| A126987 |
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Expansion of 1/(1+5*x*c(x)), c(x) the g.f. of Catalan numbers A000108. |
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+0 7
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| 1, -5, 20, -85, 350, -1470, 6090, -25485, 105830, -442150, 1838240, -7673330, 31923220, -133186760, 554325750, -2311919325, 9624918150, -40133290350, 167114005800, -696706389750, 2901470571300, -12094930814100, 50375156502900, -209972720898450, 874600454065500
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Hankel transform is (-5)^n.
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-6)^k.
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MAPLE
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c:=(1-sqrt(1-4*x))/2/x: ser:=series(1/(1+5*x*c), x=0, 27): seq(coeff(ser, x, n), n=0..24); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2007
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CROSSREFS
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Sequence in context: A099949 A006231 A069007 this_sequence A045499 A026661 A099014
Adjacent sequences: A126984 A126985 A126986 this_sequence A126988 A126989 A126990
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KEYWORD
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sign
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 21 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2007
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