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.

A143902 Rectangular array R by antidiagonals: R(m,n) = number of black squares.

This page as a plain text file.
%I A143902 #4 Jul 22 2025 06:11:13
%S A143902 0,1,1,1,2,1,2,3,3,2,2,4,4,4,2,3,5,6,6,5,3,3,6,7,8,7,6,3,4,7,9,10,10,
%T A143902 9,7,4,4,8,10,12,12,12,10,8,4,5,9,12,14,15,15,14,12,9,5,5,10,13,16,17,
%U A143902 18,17,16,13,10,5,6,11,15,18,20,21,21,20,18,15,11,6,6,12,16,20,22
%N A143902 Rectangular array R by antidiagonals: R(m,n) = number of black squares.
%C A143902 Antidiagonal sums: (2,4,10,16,28,40,60,80,...)=A006584 (conjectured).
%C A143902 Diagonals: A007590, A000217.
%F A143902 R(m,n)=Floor(mn/2).
%e A143902 Northwest corner:
%e A143902 0 1 1 2 2 3 3 4
%e A143902 1 2 3 4 5 6 7 8
%e A143902 1 3 4 6 7 9 10 12
%e A143902 2 4 6 8 10 12 14 16
%Y A143902 Cf. A143901.
%K A143902 nonn,tabl
%O A143902 1,5
%A A143902 _Clark Kimberling_, Sep 04 2008