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Search: id:A008563
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| A008563 |
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Coefficients of series arising in solution of Riccati equation y' = y^2 + x^2. |
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+0
1
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| 2, 80, 38400, 77875200, 449711308800, 5935407169536000, 155268186793574400000, 7282309435397819596800000, 568366274740400734548787200000
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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G. N. Watson, Bessel Functions, p. 2.
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FORMULA
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b(0)=b(1)=b(2)=0, b(3)=2, b(n+1) = Sum C(n, k)*b(n)*b(n-r), a(n)=b(4n-1).
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CROSSREFS
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Sequence in context: A100421 A073499 A123828 this_sequence A059487 A156932 A056972
Adjacent sequences: A008560 A008561 A008562 this_sequence A008564 A008565 A008566
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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), tony(AT)mantis.co.uk (Tony Lezard)
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