cp's OEIS Frontend

A143814 Triangle T(n,m) read along rows: T(n,m) = n^2 - (m+1)^2 for 1<=m T(n,n-1) = n^2-1.

%I A143814 #12 Dec 08 2015 08:45:23
%S A143814 3,5,8,12,7,15,21,16,9,24,32,27,20,11,35,45,40,33,24,13,48,60,55,48,
%T A143814 39,28,15,63,77,72,65,56,45,32,17,80,96,91,84,75,64,51,36,19,99,117,
%U A143814 112,105,96,85,72,57,40,21,120,140,135,128,119,108,95,80,63,44,23,143
%N A143814 Triangle T(n,m) read along rows: T(n,m) = n^2 - (m+1)^2 for 1<=m<n-1, T(n,n-1) = n^2-1.
%C A143814 The triangle appears taking the entries of A140978,
%C A143814 4;
%C A143814 9,9;
%C A143814 16,16,16;
%C A143814 25,25,25,25;
%C A143814 ..
%C A143814 minus the entries of A133819 with the 1's moved to the end of the rows,
%C A143814 1;
%C A143814 4,1;
%C A143814 4,9,1;
%C A143814 4,9,16,1;
%C A143814 4,9,16,25,1;
%C A143814 The result T(n,m) is a variant of A120070, the first term in each row of A120070 transferred to the end of the row.
%e A143814 3;
%e A143814 5,8;
%e A143814 12,7,15;
%e A143814 21,16,9,24;
%e A143814 32,27,20,11,35;
%p A143814 A143814 := proc(n,m) if m<n-1 then n^2-(m+1)^2 ; elif m=n-1 then n^2-1 ; end if; end proc:
%p A143814 seq(seq(A143814(n,m),m=1..n-1),n=2..14) ; # _R. J. Mathar_, Jan 23 2011
%Y A143814 Cf. A016061 (row sums).
%K A143814 nonn,easy,tabl
%O A143814 2,1
%A A143814 _Paul Curtz_, Sep 02 2008