cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A335610 Number of sets (in the Hausdorff metric geometry) at each location between two sets defined by a K(5,n) (with n at least 2) complete bipartite graph missing one edge.

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%I A335610 #34 Jun 27 2023 11:10:34
%S A335610 80,6800,316928,11784608,397551920,12828154160,405380093408,
%T A335610 12683426301248,394943123789840,12269641330477520,380755304897252288,
%U A335610 11809363300986469088,366179512530595589360,11352903763691009133680,351960100658771425777568,10911064386177197162304128
%N A335610 Number of sets (in the Hausdorff metric geometry) at each location between two sets defined by a K(5,n) (with n at least 2) complete bipartite graph missing one edge.
%C A335610 Number of {0,1} 5 X n matrices (with n at least 2) with one fixed zero entry and no zero rows or columns.
%C A335610 Number of edge covers of a K(5,n) complete bipartite graph (with n at least 2) missing one edge.
%H A335610 Steven Schlicker, Roman Vasquez, and Rachel Wofford, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL26/Wofford/wofford4.html">Integer Sequences from Configurations in the Hausdorff Metric Geometry via Edge Covers of Bipartite Graphs</a>, J. Int. Seq. (2023) Vol. 26, Art. 23.6.6.
%H A335610 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (57,-1002,6562,-15381,9765).
%F A335610 a(n) = 15*31^(n-1) - 43*15^(n-1) + 46*7^(n-1) - 22*3^(n-1) + 4.
%F A335610 From _Stefano Spezia_, Jul 04 2020: (Start)
%F A335610 G.f.: 16*x^2*(5 + 140*x + 593*x^2 + 522*x^3)/(1 - 57*x + 1002*x^2 - 6562*x^3 + 15381*x^4 - 9765*x^5).
%F A335610 a(n) = 57*a(n-1) - 1002*a(n-2) + 6562*a(n-3) - 15381*a(n-4) + 9765*a(n-5) for n > 6. (End)
%e A335610 For n = 2, a(2) = 80.
%t A335610 Array[15*31^(# - 1) - 43*15^(# - 1) + 46*7^(# - 1) - 22*3^(# - 1) + 4 &, 16, 2] (* _Michael De Vlieger_, Jun 22 2020 *)
%Y A335610 Sequences of segments from removing edges from bipartite graphs A335608-A335613, A337416-A337418, A340173-A340175, A340199-A340201, A340897-A340899, A342580, A342796, A342850, A340403-A340405, A340433-A340438, A341551-A341553, A342327-A342328, A343372-A343374, A343800. Polygonal chain sequences A152927, A152928, A152929, A152930, A152931, A152932, A152933, A152934, A152939. Number of {0,1} n X n matrices with no zero rows or columns A048291.
%K A335610 easy,nonn
%O A335610 2,1
%A A335610 _Steven Schlicker_, Jun 15 2020