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A038380 Number of perifusenes with one internal vertex. 1
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

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Last modified August 5 01:32 EDT 2021. Contains 346456 sequences. (Running on oeis4.)