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Search: id:A007291
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| A007291 |
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Series expansion for rectilinear polymers on square lattice.
(Formerly M4440)
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+0
1
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| 7, 63, 254, 710, 1605, 3157, 5628, 9324, 14595, 21835, 31482, 44018, 59969, 79905, 104440, 134232, 169983, 212439, 262390, 320670, 388157, 465773, 554484, 655300, 769275, 897507, 1041138, 1201354, 1379385
(list; graph; listen)
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OFFSET
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2,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
V. B. Priezzhev, Series expansion for rectilinear polymers on the square lattice, J. Phys. A 12 (1979), 2131-2139.
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FORMULA
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G.f.: (7 + 28x + 9 x^2 ) / ( 1 - x )^5.
a(n)=n(n-1)(11n^2-13n+3)/6 - T. D. Noe (noe(AT)sspectra.com), Feb 09 2007
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CROSSREFS
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Sequence in context: A055066 A167550 A161201 this_sequence A055405 A100741 A043027
Adjacent sequences: A007288 A007289 A007290 this_sequence A007292 A007293 A007294
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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