A247327 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.

1, 4, 12, 9, 27, 45, 16, 48, 80, 112, 25, 75, 125, 175, 225, 36, 108, 180, 252, 324, 396, 49, 147, 245, 343, 441, 539, 637, 64, 192, 320, 448, 576, 704, 832, 960, 81, 243, 405, 567, 729, 891, 1053, 1215, 1377, 100, 300, 500, 700, 900, 1100, 1300, 1500, 1700, 1900, 121, 363

Offset: 1

Author

Kival Ngaokrajang, Sep 13 2014

Keywords

• nonn
• tabl

Comments

See illustration in links. Column c(k) = (2*k - 1)*n^2. Diagonal d(m) = (2*n - 2*m + 1)*n^2.

Examples

			Triangle begins:
  1
  4   12
  9   27  45
  16  48  80 112
  25  75 125 175 225
  36 108 180 252 324 396
  49 147 245 343 441 539 637
		

Links

• Kival Ngaokrajang, Illustration of initial terms

Crossrefs

Column: c(1) = A000290, c(2) = A033428, c(3) = A033429.

Diagonal: d(1) = A015237, d(2) = A015238, d(3) = A015240.

Rows sum: A000538.

Cf. A241016.

Programs

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