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A039658 Related to enumeration of edge-rooted catafusenes. 1
0, 1, 2, 5, 8, 18, 28, 64, 100, 237, 374, 917, 1460, 3679, 5898, 15183, 24468, 64055, 103642, 275011, 446380, 1197616, 1948852, 5277070, 8605288, 23483743, 38362198, 105392983, 172423768, 476459938, 780496108, 2167743688, 3554991268 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

S. J. Cyvin et al., Enumeration and classification of benzenoid systems. 32. Normal perifusenes with two internal vertices, J. Chem. Inform. Comput. Sci., 32 (1992), 532-540.

S. J. Cyvin et al., Enumeration and classification of certain polygonal systems...: annelated catafusenes, J. Chem. Inform. Comput. Sci., 34 (1994), 1174-1180.

FORMULA

G.f.: (1+x)[1-3x^2-sqrt(1-6x^2+5x^4)]/[2x^2(1-x)] (eq. (9) in Cyvin et al.)

CROSSREFS

Sequence in context: A086324 A073708 A024460 * A063675 A000943 A152006

Adjacent sequences:  A039655 A039656 A039657 * A039659 A039660 A039661

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 14 2004

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.