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%I #12 Feb 27 2015 23:32:55
%S 1,4,12,9,27,45,16,48,80,112,25,75,125,175,225,36,108,180,252,324,396,
%T 49,147,245,343,441,539,637,64,192,320,448,576,704,832,960,81,243,405,
%U 567,729,891,1053,1215,1377,100,300,500,700,900,1100,1300,1500,1700,1900,121,363
%N Triangle read by rows: T(n,k) = sum of k-th row of n X n square filled with odd numbers 1 through 2*n^2-1 reading across rows left-to-right.
%C See illustration in links. Column c(k) = (2*k - 1)*n^2. Diagonal d(m) = (2*n - 2*m + 1)*n^2.
%H Kival Ngaokrajang, <a href="/A247327/a247327.pdf">Illustration of initial terms</a>
%e Triangle begins:
%e 1
%e 4 12
%e 9 27 45
%e 16 48 80 112
%e 25 75 125 175 225
%e 36 108 180 252 324 396
%e 49 147 245 343 441 539 637
%o (Small Basic)
%o For n=1 To 20
%o For k=1 To n*n+(n-1)*(n-1) Step 2*n
%o c=0
%o For i=1 To n
%o If i=1 Then
%o a=k
%o Else
%o a=a+2
%o EndIf
%o c=c+a
%o EndFor
%o TextWindow.Write(c+", ")
%o EndFor
%o EndFor
%o (PARI) trg(nn) = {for (n=1, nn, mm = matrix(n, n, i, j, (2*j-1) + (2*n)*(i-1)); for (i=1, n, print1(sum(j=1, n, mm[i, j]), ", ");); print(););} \\ _Michel Marcus_, Sep 15 2014
%Y Column: c(1) = A000290, c(2) = A033428, c(3) = A033429.
%Y Diagonal: d(1) = A015237, d(2) = A015238, d(3) = A015240.
%Y Rows sum: A000538.
%Y Cf. A241016.
%K nonn,tabl
%O 1,2
%A _Kival Ngaokrajang_, Sep 13 2014
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