A036359 - OEIS

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A036359

Number of branched catafusenes with n condensed hexagons.

0, 0, 0, 1, 2, 12, 53, 250, 1115, 5012, 22032, 96746, 422732, 1848128, 8088090, 35498533, 156328706, 691192578, 3068780449, 13683070474, 61267204610, 275455737555, 1243320744572, 5633022679582, 25611815936218, 116840427373176, 534705818846660, 2454282243059471

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OFFSET

1,5

REFERENCES

F. Harary and R. C. Read, The Enumeration of Tree-like Polyhexes, Proc. Edinburgh Math. Soc., Series II, 17 (1970), pp. 1-13.

Alexandru T. Balaban, The Enumeration of Cyclic Graphs, pp. 63-105 of A. T. Balaban, ed., Chemical Applications of Graph Theory, Ac. Press, 1976; see p. 75.

LINKS

Table of n, a(n) for n=1..28.

FORMULA

a(n) = A002216(n) - A001998(n-2) with A001998(-1)=1. - Sean A. Irvine, Oct 26 2020

CROSSREFS

Cf. A036359, A002216, A005963, A000228, A001998.

Sequence in context: A007225 A375634 A139046 * A055703 A242513 A006738

Adjacent sequences: A036356 A036357 A036358 * A036360 A036361 A036362

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Oct 26 2020

STATUS

approved