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A133233 Triangle A133232 read by rows with an additional column T(n,0)=1 added to the left. 9
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

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 affected.

LINKS

Mats Granvik, Table of n, a(n) for n = 0..434

FORMULA

T(n,0) = 1.

T(n,k) = A133232(n,k), k>0.

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

CROSSREFS

Cf. A003418, A120112, A000961, A014963.

Sequence in context: A325757 A161161 A136277 * A174430 A116361 A106796

Adjacent sequences:  A133230 A133231 A133232 * A133234 A133235 A133236

KEYWORD

nonn,tabl

AUTHOR

Mats Granvik, Oct 13 2007

EXTENSIONS

Removed information which duplicates A133232; offset set to 0 - R. J. Mathar, Nov 23 2010

STATUS

approved

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Last modified May 19 10:36 EDT 2019. Contains 323390 sequences. (Running on oeis4.)