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A094307
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The k-th term of the n-th row of the following triangle is the least common multiple of all numbers from 1 to n except k. 1 2 1 6 3 2 12 12 4 6 60 60 20 30 12 60 60 60 30 12 60 ... Sequence contains the triangle by rows.
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3
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1, 2, 1, 6, 3, 2, 12, 12, 4, 6, 60, 60, 20, 30, 12, 60, 60, 60, 30, 12, 60, 420, 420, 420, 210, 84, 420, 60, 840, 840, 840, 840, 168, 840, 120, 420, 2520, 2520, 2520, 2520, 504, 2520, 360, 1260, 840, 2520, 2520, 2520, 2520, 2520, 2520, 360, 1260, 840, 2520, 27720
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The leading diagonal and the first column are given by A003418 with a suitable offset 0 or 1.
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MAPLE
| A094307 := proc(n, k) local a, i ; if n = 1 then RETURN(1) ; elif k > 1 and k < n then a := [seq(i, i=1..k-1), seq(i, i=k+1..n)] ; elif k = n then a := [seq(i, i=1..k-1)] ; else a := [seq(i, i=2..n)] ; fi ; ilcm(op(a)) ; end: for n from 1 to 15 do for k from 1 to n do printf("%d, ", A094307(n, k)) ; od ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
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CROSSREFS
| Cf. A094308.
Sequence in context: A158442 A120435 A125901 * A097905 A094310 A165908
Adjacent sequences: A094304 A094305 A094306 * A094308 A094309 A094310
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KEYWORD
| nonn,tabl
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 29 2004
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
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