A200741 Table of distinct numbers of the form v*w + w*u + u*v with 1 <= u <= v <= w <= n.

3, 3, 5, 8, 12, 3, 5, 7, 8, 11, 12, 15, 16, 21, 27, 3, 5, 7, 8, 9, 11, 12, 14, 15, 16, 19, 20, 21, 24, 26, 27, 32, 33, 40, 48, 3, 5, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 23, 24, 26, 27, 29, 31, 32, 33, 35, 38, 39, 40, 45, 47, 48, 55, 56, 65, 75, 3, 5

Offset: 1

Author

Reinhard Zumkeller, Nov 21 2011

Keywords

• nonn
• tabf

Comments

A100440(n) = number of terms in row n;

T(1,1) = 3; right edge: T(n,A100440(n)) = A033428(n);

T(n,k) = T(n+1,k) for k <= A200742(n);

distinct terms per row of table in A200737.

Links

• Reinhard Zumkeller, Rows n=1..25 of triangle, flattened

Programs

Haskell

import Data.List (nub)
a200741 n k = a200741_tabl !! (n-1) !! (k-1)
a200741_row = nub . a200737_row
a200741_tabl = map a200741_row [1..]

Mathematica

row[n_] := Table[v*w + w*u + u*v, {u, 1, n}, {v, u, n}, {w, v, n}] // Flatten // Union; Table[row[n], {n, 1, 6}] // Flatten (* Jean-François Alcover, Dec 04 2013 *)