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.

A269747 Number of regular tetrahedra in an n-node-per-edge tetrahedral grid.

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%I A269747 #23 Mar 08 2023 16:20:05
%S A269747 0,0,1,5,16,39,80,155,281,476,760,1154,1686,2394,3331,4551,6110,8065,
%T A269747 10486,13461,17079,21430,26606,32726,39928,48360,58183,69573,82708,
%U A269747 97767,114930,134387,156329,180960,208506,239230,273444,311486,353709,400467,452136,509093,571716,640393,715537
%N A269747 Number of regular tetrahedra in an n-node-per-edge tetrahedral grid.
%C A269747 Number of ways to choose 4 points forming a regular tetrahedron out of the binomial(n+2,3) points in a regular tetrahedral grid.
%C A269747 The tetrahedra defined by the four points may have any orientation.
%C A269747 Similar to A216173, which differs from the present sequence in a mysterious way.
%F A269747 It would be nice to have a g.f. - _N. J. A. Sloane_, Mar 21 2016
%Y A269747 Cf. A000332 (2-D version), A216173, A270805, A270806.
%K A269747 nonn
%O A269747 0,4
%A A269747 _Warren D. Smith_, Mar 21 2016; more terms Mar 23 2016
%E A269747 a(21) changed from 24130 to 21430 by _Anthony Guttmann_, Mar 07 2023