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 A152939 Number of sets (in the Hausdorff metric geometry) at each location between two sets defining a polygonal configuration consisting of four 4-gonal polygonal components chained with string components of length l as l varies. 0
 29153, 109649, 486385, 2024613, 8634049, 36481021, 154687133, 655020765, 2775107981, 11754906113 (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 MAPLE with(combinat): a := proc(n) local aa, b, c, d, lambda, delta, R, S, F, L, k, m: k:=4: m:=2: F := t -> fibonacci(t): L := t -> fibonacci(t-1)+fibonacci(t+1): aa := (m, n) -> L(2*m)*F(n-2)+F(2*m+2)*F(n-1): b := (m, n) -> L(2*m)*F(n-1)+F(2*m+2)*F(n): c := (m, n) -> F(2*m+2)*F(n-2)+F(m+2)^2*F(n-1): d := (m, n) -> F(2*m+2)*F(n-1)+F(m+2)^2*F(n): lambda := (m, n) -> (d(m, n)+aa(m, n)+sqrt((d(m, n)-aa(m, n))^2+4*b(m, n)*c(m, n)))*(1/2): delta := (m, n) -> (d(m, n)+aa(m, n)-sqrt((d(m, n)-aa(m, n))^2+4*b(m, n)*c(m, n)))*(1/2): R := (m, n) -> ((lambda(m, n)-d(m, n))*L(2*m)+b(m, n)*F(2*m+2))/(2*lambda(m, n)-d(m, n)-aa(m, n)): S := (m, n) -> ((lambda(m, n)-aa(m, n))*L(2*m)-b(m, n)*F(2*m+2))/(2*lambda(m, n)-d(m, n)-aa(m, n)): simplify(R(m, n)*lambda(m, n)^(k-1)+S(m, n)*delta(m, n)^(k-1)); end proc; CROSSREFS Cf. A152927, A152928, A152929, A152930, A152931, A152932, A152933, A152934 Sequence in context: A257391 A015313 A242741 * A028462 A252860 A206470 Adjacent sequences:  A152936 A152937 A152938 * A152940 A152941 A152942 KEYWORD nonn AUTHOR Steven Schlicker (schlicks(AT)gvsu.edu), Dec 15 2008 STATUS approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)