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 A152929 Number of sets (in the Hausdorff metric geometry) at each location between two sets defining a polygonal configuration consisting of two 4-gonal polygonal components chained with string components of length l as l varies. 9
 113, 176, 289, 465, 754, 1219, 1973, 3192, 5165, 8357, 13522, 21879, 35401, 57280, 92681, 149961, 242642, 392603, 635245, 1027848, 1663093, 2690941, 4354034, 7044975, 11399009, 18443984, 29842993, 48286977, 78129970, 126416947, 204546917, 330963864, 535510781, 866474645 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS 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. P. E. Weidmann, The OEIS Sequencer survey, Apr 11 2015 FORMULA a(n) = (163*A000045(n)+63*A000032(n))/2. - Conjectured by Philipp Emanuel Weidmann, cf. LINKS. G.f.: x*(113 + 63*x)/(1 - x - x^2). - M. F. Hasler, Apr 16 2015 MAPLE with(combinat): a := proc(n) local aa, b, c, d, lambda, delta, R, S, F, L4, Q: F := fibonacci: L4 := F(3)+F(5): aa := L4*F(n-2)+F(6)*F(n-1): b := L4*F(n-1)+F(6)*F(n): c := F(6)*F(n-2)+F(4)^2*F(n-1): d := F(6)*F(n-1)+F(4)^2*F(n): Q := sqrt((d-aa)^2+4*b*c); lambda := (d+aa+Q)/2: delta := (d+aa-Q)/2: R := ((lambda-d)*L4+b*F(6))/Q: S := ((lambda-aa)*L4-b*F(6))/Q: simplify(R*lambda+S*delta); end proc: # Simplified by M. F. Hasler, Apr 16 2015 PROG (PARI) A152929(n)==50*fibonacci(n)+63*fibonacci(n+1) \\ M. F. Hasler, Apr 14 2015 CROSSREFS Cf. A152927, A152928, A152930, A152931, A152932, A152933, A152934, A152935. Sequence in context: A167631 A264778 A142303 * A142180 A084951 A151947 Adjacent sequences:  A152926 A152927 A152928 * A152930 A152931 A152932 KEYWORD nonn AUTHOR Steven Schlicker (schlicks(AT)gvsu.edu), Dec 15 2008 EXTENSIONS More terms from M. F. Hasler, Apr 16 2015 STATUS approved

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Last modified December 18 14:30 EST 2018. Contains 318229 sequences. (Running on oeis4.)