

A200741


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


5



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
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OFFSET

1,1


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


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 (* JeanFrançois Alcover, Dec 04 2013 *)


PROG

(Haskell)
import Data.List (nub)
a200741 n k = a200741_tabl !! (n1) !! (k1)
a200741_row = nub . a200737_row
a200741_tabl = map a200741_row [1..]


CROSSREFS

Sequence in context: A318684 A336132 A200737 * A271970 A213678 A293676
Adjacent sequences: A200738 A200739 A200740 * A200742 A200743 A200744


KEYWORD

nonn,tabf


AUTHOR

Reinhard Zumkeller, Nov 21 2011


STATUS

approved



