A038380 - OEIS

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A038380

Number of perifusenes with one internal vertex.

0, 0, 0, 1, 1, 6, 24, 109, 477, 2155, 9647, 43621, 197767, 901436, 4125636, 18964119, 87508095, 405289754, 1883445328, 8780346115, 41052409755, 192461618324, 904573028990, 4261485821599, 20119936936041, 95186856459869

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

REFERENCES

S. J. Cyvin et al., Number of perifusenes with one internal vertex, Rev. Roumaine Chem., 38 (1993), 65-77.

LINKS

Table of n, a(n) for n=0..25.

S. J. Cyvin, F. Zhang and J. Brunvoll, Enumeration of perifusenes with one internal vertex: A complete mathematical solution, J. Math. Chem., 11 (1992), 283-292.

FORMULA

G.f.: (2-9x+21x^2-16x^3)/2-(4-18x+17x^2)*(1-x)^(1/2)*(1-5x)^(1/2)/6-x(1-x^2)^(1/2)*(1-5x^2)^(1/2)/2-(1-x^3)^(1/2)*(1-5x^3)^(1/2)/3. - Emeric Deutsch, May 14 2004

CROSSREFS

Sequence in context: A026972 A075484 A122739 * A052745 A187668 A273813

Adjacent sequences: A038377 A038378 A038379 * A038381 A038382 A038383

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Emeric Deutsch, May 14 2004

STATUS

approved