OFFSET
1,2
LINKS
Reinhard Zumkeller, Rows n = 1..120 of triangle, flattened
Keith Bourque and Steve Ligh, Matrices associated with multiplicative functions, Linear Algebra and its Applications 216 (1995) 267-275.
Shaofang Hong and Raphael Loewy, Asymptotic behavior of eigenvalues of greatest common divisor matrices, Glasgow Mathematical Journal, Vol. 46, No. 3 (2004) 551-569.
Eric Weisstein's World of Mathematics, Least Common Multiple
Wikipedia, Least Common Multiple
FORMULA
T(n,1) = T(n,n) = n. T(n,2) = A109043(n). - R. J. Mathar, Apr 07 2011
EXAMPLE
Triangle begins:
1;
2, 2;
3, 6, 3;
4, 4, 12, 4;
5, 10, 15, 20, 5;
6, 6, 6, 12, 30, 6;
7, 14, 21, 28, 35, 42, 7;
8, 8, 24, 8, 40, 24, 56, 8;
MAPLE
A051173 := proc(u, v) ilcm(u, v) ; end proc: # R. J. Mathar, Apr 07 2011
MATHEMATICA
Table[LCM[n, k], {n, 1, 12}, {k, 1, n}] // Flatten (* Jean-François Alcover, Jan 30 2018 *)
PROG
(Haskell)
a051173 = lcm
a051173_row n = a051173_tabl !! (n-1)
a051173_tabl = map (\x -> map (lcm x) [1..x]) [1..]
-- Reinhard Zumkeller, Aug 13 2013, Jul 07 2013
(PARI) T(n, k) = lcm(n, k);
tabl(nn) = for (n=1, nn, for (k=1, n, print1(T(n, k), ", ")); print; ) \\ Michel Marcus, Jul 10 2017
CROSSREFS
KEYWORD
AUTHOR
STATUS
approved