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A008579 Coordination sequence for planar net 3.6.3.6. Spherical growth function for certain reflection group in plane. +0
2
1, 4, 8, 14, 18, 22, 28, 30, 38, 38, 48, 46, 58, 54, 68, 62, 78, 70, 88, 78, 98, 86, 108, 94, 118, 102, 128, 110, 138, 118, 148, 126, 158, 134, 168, 142, 178, 150, 188, 158, 198, 166, 208, 174, 218, 182 (list; graph; listen)
OFFSET

0,2

COMMENT

Interesting because coefficients never become monotonic.

REFERENCES

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 161 (but beware errors).

LINKS

T. D. Noe, Table of n, a(n) for n=0..1000

FORMULA

G.f.: (1+2*x)*(1+2*x+2*x^2+2*x^3-x^4)/(1-x^2)^2.

MAPLE

f := n->if n mod 2 = 0 then 10*(n/2)-2 else 8*(n-1)/2+6 fi;

CROSSREFS

Sequence in context: A114971 A036312 A024805 this_sequence A022804 A067699 A066941

Adjacent sequences: A008576 A008577 A008578 this_sequence A008580 A008581 A008582

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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