A044044 - OEIS

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A044044

Catafusenes (see reference for precise definition).

0, 1, 2, 2, 6, 10, 19, 36, 72, 135, 274, 543, 1084, 2219, 4438, 9280, 18570, 39587, 79169, 171369, 342738, 751221, 1502472, 3328218, 6656421, 14878455, 29756910, 67030734, 134061570, 304036170, 608072289, 1387247580, 2774495160 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	REFERENCES	`S. J. Cyvin et al., Enumeration and classification of certain polygonal systems...: annelated catafusenes, J. Chem. Inform. Comput. Sci., 34 (1994), 1174-1180.`
	LINKS	`Table of n, a(n) for n=0..32.`
	FORMULA	`G.f.=U(z^2)V(z) + V(z)/z - V(z^3) - 1, where U(z)=[1-3z-sqrt(1-6z+ 5z^2)]/(2z) and V(z)=[1-z^2-sqrt(1-6z^2+5z^4)]/[2z(1-z)] (from eq. (29) of the Cyvin et al. paper). - Emeric Deutsch, May 02 2004`
	CROSSREFS	`Sequence in context: A165941 A054227 A054228 * A123757 A167399 A247326` `Adjacent sequences: A044041 A044042 A044043 * A044045 A044046 A044047`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane.`
	EXTENSIONS	`More terms from Emeric Deutsch, May 02 2004`
	STATUS	`approved`

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Last modified January 20 13:18 EST 2021. Contains 340302 sequences. (Running on oeis4.)