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.

A116542 Table B(m,n), read by antidiagonals, where B(m,n) is the number of ways integers 1,..,m*n can be put into an m X n grid so that every adjacent (NESW) pair of integers are coprime.

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%I A116542 #6 Feb 05 2014 20:18:17
%S A116542 1,2,2,6,8,6,12,16,16,12,72,432,2016,432,72,72,2784,23904,23904,2784,
%T A116542 72,864,35712,7102656,19611648,7102656,35712,864
%N A116542 Table B(m,n), read by antidiagonals, where B(m,n) is the number of ways integers 1,..,m*n can be put into an m X n grid so that every adjacent (NESW) pair of integers are coprime.
%C A116542 Sequence suggested by _Leroy Quet_ on the SeqFan mailing list. B(1,n)=B(n,1)=A076220(n).
%e A116542 The 16 configuration 3x2 are the following
%e A116542 ------------------------------------------------
%e A116542 1 2 3 | 2 5 6 | 3 4 1 | 4 5 6 | 6 1 2 | 6 5 4
%e A116542 6 5 4 | 3 4 1 | 2 5 6 | 3 2 1 | 5 4 3 | 1 2 3
%e A116542 ------------------------------------------------
%e A116542 1 4 3 | 3 2 1 | 3 4 5 | 5 2 3 | 6 1 4
%e A116542 6 5 2 | 4 5 6 | 2 1 6 | 6 1 4 | 5 2 3
%e A116542 ------------------------------------------------
%e A116542 2 1 6 | 3 2 5 | 4 1 6 | 5 4 3 | 6 5 2
%e A116542 3 4 5 | 4 1 6 | 3 2 5 | 6 1 2 | 1 4 3
%e A116542 ------------------------------------------------
%Y A116542 Cf. A076220.
%K A116542 nonn,tabl
%O A116542 1,2
%A A116542 _Giovanni Resta_, Mar 28 2006