A008563 - OEIS

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A008563

Coefficients of series arising in solution of Riccati equation y' = y^2 + x^2.

2, 80, 38400, 77875200, 449711308800, 5935407169536000, 155268186793574400000, 7282309435397819596800000, 568366274740400734548787200000 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	REFERENCES	`G. N. Watson, Bessel Functions, p. 2.`
	FORMULA	`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).`
	CROSSREFS	`Sequence in context: A195000 A073499 A123828 * A059487 A156932 A056972` `Adjacent sequences: A008560 A008561 A008562 * A008564 A008565 A008566`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), tony(AT)mantis.co.uk (Tony Lezard)`

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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.