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Search: id:A012125
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| A012125 |
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G.f.: x/((1-4*x+16*x^2)^(3/2)). |
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+0
1
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| 0, 1, 6, 6, -100, -570, -588, 8092, 45432, 47430, -607420, -3385932, -3557112, 43868188, 243513480, 256815480, -3094459408, -17130508218, -18113603868, 214848211780, 1187079671400, 1257576694836, -14747640408424, -81367084566264, -86322262278000, 1003635505135900
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n)= (2(2n-1)/(n-1))a(n-1) - (16n/(n-1))a(n-2), starting with a(0) = 0 and a(1) = 1. - C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 15 2004
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MAPLE
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A012125:=proc(n) options remember: if n<2 then RETURN([0, 1][n+1]) else RETURN((2*(2*n-1)/(n-1))*A012125(n-1)-(16*n/(n-1))*A012125(n-2)) fi: end; seq(A012125(n), n=0..25); seq(coeff(convert(series(x/((1-4*x+16*x^2)^(3/2)), x, 40), polynom), x, i), i=0..25); (C. Ronaldo)
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MATHEMATICA
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Table[ -((2^(-1 + 2*n)*LegendreP[ n, 1, 1/2 ])/Sqrt[ 3 ]), {n, 0, 12} ]
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CROSSREFS
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Sequence in context: A065239 A146892 A085804 this_sequence A123190 A165641 A113550
Adjacent sequences: A012122 A012123 A012124 this_sequence A012126 A012127 A012128
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KEYWORD
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sign
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AUTHOR
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w.meeussen (wouter.meeussen(AT)pandora.be)
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EXTENSIONS
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Simpler definition and more terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 15 2004
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