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A133233
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Triangle A133232 read by rows with an additional column T(n,0)=1 added to the left.
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10
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1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 4, 1, 1, 1, 3, 4, 5, 1, 1, 1, 3, 4, 5, 1, 1, 1, 1, 3, 4, 5, 1, 7, 1, 1, 1, 3, 1, 5, 1, 7, 8, 1, 1, 1, 1, 1, 5, 1, 7, 8, 9, 1, 1, 1, 1, 1, 5, 1, 7, 8, 9, 1, 1, 1, 1, 1, 1, 5, 1, 7, 8, 9, 1, 11, 1, 1, 1, 1, 1, 5, 1, 7, 8, 9, 1, 11, 1, 1, 1, 1, 1, 1, 5, 1, 7, 8, 9, 1, 11, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Attaching an additional 1 does not change the composition compared to A133232 since neither the lcm over the elements of a row nor their product is effected.
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LINKS
| Mats Granvik (mgranvik(AT)abo.fi), Oct 13 2007, Table of n, a(n) for n = 1..435
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FORMULA
| T(n,0) = 1.
T(n,k) = A133232(n,k), k>0.
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EXAMPLE
| The first rows of the triangle and the least common multiple of the rows are:
lcm{1} = 1
lcm{1, 1} = 1
lcm{1, 1, 2} = 2
lcm{1, 1, 2, 3} = 6
lcm{1, 1, 1, 3, 4} = 12
lcm{1, 1, 1, 3, 4, 5} = 60
lcm{1, 1, 1, 3, 4, 5, 1} = 60
lcm{1, 1, 1, 3, 4, 5, 1, 7} = 420
lcm{1, 1, 1, 3, 1, 5, 1, 7, 8} = 840
lcm{1, 1, 1, 1, 1, 5, 1, 7, 8, 9} = 2520
Multiplying the terms in the rows produces the same result:
1 = 1
1*1 = 1
1*1*2 = 2
1*1*2*3 = 6
1*1*1*3*4 = 12
1*1*1*3*4*5 = 60
1*1*1*3*4*5*1 = 60
1*1*1*3*4*5*1*7 = 420
1*1*1*3*1*5*1*7*8 = 840
1*1*1*1*1*5*1*7*8*9 = 2520
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CROSSREFS
| Cf. A003418, A120112, A000961, A014963.
Sequence in context: A038374 A161161 A136277 * A174430 A116361 A106796
Adjacent sequences: A133230 A133231 A133232 * A133234 A133235 A133236
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KEYWORD
| nonn,tabl
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AUTHOR
| Mats Granvik (mgranvik(AT)abo.fi), Oct 13 2007
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EXTENSIONS
| Removed information which duplicates A133232; offset set to 0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 23 2010
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