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A152933 Number of sets (in the Hausdorff metric geometry) at each location between two sets defining a polygonal configuration consisting of k 6-gonal polygonal components chained with string components of length 2 as k varies. 8
18, 1197, 80361, 5394960, 362185569, 24314987763, 1632363850242, 109587212856081, 7357034536009605, 493907598828348264 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

S. Schlicker, L. Morales, D. Schultheis, Polygonal chain sequences in the space of compact sets, J. Integer Seq. 12 (2009), no. 1, Article 09.1.7, 23 pp.

LINKS

Table of n, a(n) for n=1..10.

MAPLE

with(combinat): a := proc(n) local aa, b, c, d, lambda, delta, R, S, F, L, m, l: m:=3: l:=2: F := n -> fibonacci(n): L := n -> fibonacci(n-1)+fibonacci(n+1): aa := (m, l) -> L(2*m)*F(l-2)+F(2*m+2)*F(l-1): b := (m, l) -> L(2*m)*F(l-1)+F(2*m+2)*F(l): c := (m, l) -> F(2*m+2)*F(l-2)+F(m+2)^2*F(l-1): d := (m, l) -> F(2*m+2)*F(l-1)+F(m+2)^2*F(l): lambda := (m, l) -> (d(m, l)+aa(m, l)+sqrt((d(m, l)-aa(m, l))^2+4*b(m, l)*c(m, l)))*(1/2): delta := (m, l) -> (d(m, l)+aa(m, l)-sqrt((d(m, l)-aa(m, l))^2+4*b(m, l)*c(m, l)))*(1/2): R := (m, l) -> ((lambda(m, l)-d(m, l))*L(2*m)+b(m, l)*F(2*m+2))/(2*lambda(m, l)-d(m, l)-aa(m, l)): S := (m, l) -> ((lambda(m, l)-aa(m, l))*L(2*m)-b(m, l)*F(2*m+2))/(2*lambda(m, l)-d(m, l)-aa(m, l)): simplify(R(m, l)*lambda(m, l)^(n-1)+S(m, l)*delta(m, l)^(n-1)); end proc;

CROSSREFS

Cf. A152927, A152928, A152929, A152930, A152931, A152932, A152934, A152935

Sequence in context: A052135 A033518 A064564 * A177602 A252969 A182286

Adjacent sequences:  A152930 A152931 A152932 * A152934 A152935 A152936

KEYWORD

nonn

AUTHOR

Steven Schlicker (schlicks(AT)gvsu.edu), Dec 15 2008

STATUS

approved

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Last modified March 26 07:24 EDT 2017. Contains 284111 sequences.