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.

A048663 Number of rooted polycubes with n cells, with no symmetries removed.

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%I A048663 #24 Sep 13 2019 08:02:22
%S A048663 1,6,45,344,2670,20886,164514,1303304,10375830,82947380,665440039,
%T A048663 5354470860,43196001173,349254823554,2829388506690,22961191276080,
%U A048663 186622811691276,1518914831183982,12377727000122043
%N A048663 Number of rooted polycubes with n cells, with no symmetries removed.
%C A048663 "Rooted" means some cell of the polycube is designated as the origin. This has the effect of multiplying the count by the volume of the polycube.
%D A048663 Dan Hoey, Bill Gosper and Richard C. Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
%H A048663 R. C. Schroeppel, <a href="http://www.experimentalmath.info/workshop2004/schroeppel-talk.pdf">A few mathematical experiments</a>, Experimental Mathematics Workshop, Oakland, 2004.
%F A048663 a(n) = n * A001931(n). - _Andrew Howroyd_, Dec 04 2018
%e A048663 There are six dicubes, each consisting of the origin cube together with one adjacent cube, in each of the six directions.
%t A048663 A001931 = Cases[Import["https://oeis.org/A001931/b001931.txt", "Table"], {_, _}][[All, 2]];
%t A048663 a[n_] := n * A001931[[n]];
%t A048663 Array[a, 19] (* _Jean-François Alcover_, Sep 13 2019 *)
%Y A048663 A row of the array in A048790.
%Y A048663 Cf. A001931.
%K A048663 nonn
%O A048663 1,2
%A A048663 Richard C. Schroeppel, _Dan Hoey_
%E A048663 a(12)-a(19) from _Andrew Howroyd_, Dec 04 2018