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.

A371397 Number of chiral pairs of polyominoes with n cubical cells of the regular tiling with Schläfli symbol {4,3,4}.

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%I A371397 #18 May 15 2025 11:25:35
%S A371397 0,0,0,1,6,54,416,3111,22898,168460,1242985,9227333,68949103,
%T A371397 518618196,3925228596,29879207817,228630283775,1757699977107,
%U A371397 13570824097968,105182547181534,818093724437992,6383353614308209
%N A371397 Number of chiral pairs of polyominoes with n cubical cells of the regular tiling with Schläfli symbol {4,3,4}.
%C A371397 Also called polycubes. Each member of a chiral pair is a reflection but not a rotation of the other.
%F A371397 a(n) = A000162(n) - A038119(n) = (A000162(n) - A007743(n))/2 = A038119(n) - A007743(n).
%e A371397 Polyominoes with cell centers at (0,0,0), (0,0,1), (0,1,1), (1,1,1) and (0,0,0), (0,1,0), (0,1,1), (1,1,1) are a chiral pair.
%Y A371397 Cf. A000162 (oriented), A038119 (unoriented), A007743 (achiral), A001931 (fixed).
%Y A371397 Component symmetries: A376964, A376965, A376966, A376967, A376968, A376975, A376976, A376982, A377127, A377128, A377131.
%K A371397 nonn,more
%O A371397 1,5
%A A371397 _Robert A. Russell_, Mar 21 2024
%E A371397 a(17)-a(22) from _John Mason_, Sep 19 2024