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A051173
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Triangular array T read by rows: T(u,v)=LCM(u,v).
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10
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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, 9, 18, 9, 36, 45, 18, 63, 72, 9, 10, 10, 30, 20, 10, 30, 70, 40, 90, 10, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 11, 12, 12
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Keith Bourque, Steve Ligh, Matrices associated with multiplicative functions, Lin. Alg. Applic. 216 (1995) 265-275
Shaofang Hong, Raphael Loewy, Asymptotic behavior of eigenvalues of greatest common divisor matrices, Glasgow Math. J. 46 (2004) 551-569
Index entries for sequences related to lcm's
Eric Weisstein's World of Mathematics, Least Common Multiple
Wikipedia, Least Common Multiple
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FORMULA
| T(n,1) = T(n,n) = n. T(n,2) = A109043(n). - R. J. Mathar, Apr 07 2011
T(n,k) = A075362(n,k)/A050873(n,k), 1<=k<=n. [Reinhard Zumkeller, Apr 25 2011]
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EXAMPLE
| 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;
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MAPLE
| A051173 := proc(u, v) ilcm(u, v) ; end proc: # R. J. Mathar, Apr 07 2011
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CROSSREFS
| Cf. A003990.
Cf. A051173 (row sums), A000384 (central terms).
Sequence in context: A076333 A015051 A064426 * A128228 A190098 A125102
Adjacent sequences: A051170 A051171 A051172 * A051174 A051175 A051176
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KEYWORD
| nonn,easy,tabl
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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