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A007291 Series expansion for rectilinear polymers on square lattice.
(Formerly M4440)
0
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; refs; listen; history; internal format)
OFFSET

2,1

REFERENCES

V. B. Priezzhev, Series expansion for rectilinear polymers on the square lattice, J. Phys. A 12 (1979), 2131-2139.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

FORMULA

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

CROSSREFS

Sequence in context: A055066 A167550 A161201 * A188226 A055405 A100741

Adjacent sequences:  A007288 A007289 A007290 * A007292 A007293 A007294

KEYWORD

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified February 17 16:00 EST 2012. Contains 206050 sequences.