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.

A365143 Proper dimension of the polyomino with code A365142(n).

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%I A365143 #6 Aug 27 2023 10:11:17
%S A365143 0,1,2,1,2,3,2,2,2,3,1,3,2,3,3,4,4,2,2,2,2,2,3,3,3,3,3,2,3,2,2,2,3,3,
%T A365143 4,1,2,3,4,4,4,3,2,3,3,2,2,2,3,3,3,4,4,4,3,3,3,3,3,3,3,3,4,5,5,5,3,2,
%U A365143 3,3,4,4,4,2,3,2,2,2,2,2,2,2,3,2,3,3,3
%N A365143 Proper dimension of the polyomino with code A365142(n).
%C A365143 Can be read as an irregular triangle, whose n-th row contains A005519(n) terms. The first term of the n-th row is A000720(n). The number of times d occurs in the n-th row is A049430(n,d).
%H A365143 <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.
%F A365143 a(n) = max_{1<=i<=m} A061395(e_i+1), where A365142(n) = Sum_{1<=i<=m} 2^e_i and e_1 < ... < e_m != 0 (i.e., (e_1, ..., e_m) is the A365142(n)-th row of A133457).
%e A365143 As an irregular triangle:
%e A365143   0;
%e A365143   1;
%e A365143   2, 1;
%e A365143   2, 3, 2, 2, 2, 3, 1;
%e A365143   3, 2, 3, 3, 4, 4, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 3, 4, 1, 2;
%e A365143   ...
%e A365143 For the 4th row, the seven 4-cell polyominoes, with codes 15, 23, 39, 43, 46, 51, 139 (4th row of A365142), are the L-tetromino, the properly 3-dimensional nonchiral tetracube, the square tetromino, the T-tetromino, the S-tetromino, the properly 3-dimensional chiral tetracube, and the straight tetromino, with proper dimensions 2, 3, 2, 2, 2, 3, 1, respectively.
%Y A365143 Cf. A000720, A005519, A049430, A061395, A133457, A365142.
%K A365143 nonn,tabf
%O A365143 1,3
%A A365143 _Pontus von Brömssen_, Aug 25 2023