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A129509
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Expansion of F(x,x)/4, where F(x,z)=(sqrt(x(1+sqrt(z))^2+1)-sqrt(x(1-sqrt(z))^2+1)^2.
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1, -1, 0, 2, -4, 3, 5, -20, 29, -1, -94, 221, -191, -327, 1454, -2282, 162, 8002, -19902, 18275, 30505, -143511, 234364, -24437, -841723, 2164873, -2069014, -3325410, 16315410
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| a(n)=A129507(n)/4.
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REFERENCES
| A. M. Tulino and S. Verdu, Random Matrix Theory and Wireless Communications, 2004, p. 9.
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FORMULA
| G.f.: (1+x+x^2-sqrt(1+2x+3x^2-2x^3+x^4))/2;
Conjecture: (n+3)*a(n) +(2*n+3)*a(n-1) +3*n*a(n-2) +(3-2*n)*a(n-3) +(n-3)*a(n-4)=0. - R. J. Mathar, Nov 14 2011
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CROSSREFS
| Sequence in context: A093416 A073944 A072937 * A015049 A057956 A151734
Adjacent sequences: A129506 A129507 A129508 * A129510 A129511 A129512
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KEYWORD
| sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 18 2007
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