A137152 Triangle read by rows: prime powers whose row products give A051451.

1, 1, 2, 1, 2, 3, 1, 1, 3, 4, 1, 1, 3, 4, 5, 1, 1, 3, 4, 5, 7, 1, 1, 3, 1, 5, 7, 8, 1, 1, 1, 1, 5, 7, 8, 9, 1, 1, 1, 1, 5, 7, 8, 9, 11, 1, 1, 1, 1, 5, 7, 8, 9, 11, 13, 1, 1, 1, 1, 5, 7, 1, 9, 11, 13, 16, 1, 1, 1, 1, 5, 7, 1, 9, 11, 13, 16, 17, 1, 1, 1, 1, 5, 7, 1, 9, 11, 13, 16, 17, 19, 1, 1, 1, 1, 5, 7, 1

Offset

1,3

Comments

Similar to tables A133232 and A133233.

Links

Table of n, a(n) for n=1..98.

Example

The least common multiple of the first few rows are:
lcm{1} = 1
lcm{1,2} = 2
lcm{1,2,3} = 6
lcm{1,1,3,4} = 12
lcm{1,1,3,4,5} = 60
lcm{1,1,3,4,5,7} = 420
lcm{1,1,3,1,5,7,8} = 840
lcm{1,1,1,1,5,7,8,9} = 2520
lcm{1,1,1,1,5,7,8,9,11} = 27720
Multiplying the terms in the rows produces the same result:
1 = 1
1*2 = 2
1*2*3 = 6
1*1*3*4 = 12
1*1*3*4*5 = 60
1*1*3*4*5*7 = 420
1*1*3*1*5*7*8 = 840
1*1*1*1*5*7*8*9 = 2520
1*1*1*1*5*7*8*9*11 = 27720

Crossrefs

Cf. A051451.

Sequence in context: A241844 A233864 A133232 * A328902 A159335 A109004

Adjacent sequences: A137149 A137150 A137151 * A137153 A137154 A137155

Keyword

nonn,tabl

Author

Mats Granvik, Jan 24 2008

Status

approved