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A066158 Number of fixed polyominoes with n cells and tree-like structure. +0
3
1, 2, 6, 18, 55, 174, 570, 1908, 6473, 22202, 76886, 268352, 942651, 3329608, 11817582, 42120340, 150682450, 540832274, 1946892842, 7027047848, 25424079339, 92185846608, 334925007128, 1219054432490, 4444545298879, 16229462702152, 59347661054364 (list; graph; listen)
OFFSET

1,2

COMMENT

Computed by a modified version of the program used for A065068.

REFERENCES

I. Jensen, Enumerations of lattice animals and trees, arXiv:cond-mat/0007239.

N. Madras, C. E. Soteros, S. G. Whittington, J. L. Martin, M. F. Sykes et al., The free energy of a collapsing branched polymer, J. Phys. A: Math. Gen. 23 (1990) 5327-5350

LINKS

I. Jensen, Table of n, a(n) for n = 1..44 [From the arXiv paper]

CROSSREFS

Cf. A001168, A019441.

Sequence in context: A004529 A000778 A006725 this_sequence A148456 A148457 A002999

Adjacent sequences: A066155 A066156 A066157 this_sequence A066159 A066160 A066161

KEYWORD

nonn

AUTHOR

Jan Kristian Haugland (jankrihau(AT)hotmail.com), Dec 13 2001

EXTENSIONS

Added a(18) and a(19) from Madras et al. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 08 2006

Terms from a(20) on added by N. J. A. Sloane (njas(AT)research.att.com), Nov 05 2008, from the Jensen paper.

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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