A050210 Largest denominator in unit fraction representation of triangle of numbers 1/2, 1/3, 2/3, 1/4, 2/4, ... as computed with greedy algorithm.

2, 3, 6, 4, 2, 4, 5, 15, 10, 20, 6, 3, 2, 6, 3, 7, 28, 231, 14, 70, 42, 8, 4, 24, 2, 8, 4, 24, 9, 45, 3, 9, 18, 6, 36, 18, 10, 5, 20, 15, 2, 10, 5, 20, 15, 11, 66, 44, 33, 99, 22, 88, 4070, 660, 231, 12, 6, 4, 3, 12, 2, 12, 6, 4, 3, 12, 13, 91, 2145, 468, 780, 312, 26, 234, 39, 52, 78, 156

Offset: 2

Author

Eric W. Weisstein

Keywords

• nonn
• tabl
• easy

Examples

			Triangle begins:
   2;
   3,  6;
   4,  2,   4;
   5, 15,  10, 20;
   6,  3,   2,  6,  3;
   7, 28, 231, 14, 70, 42;
   8,  4,  24,  2,  8,  4, 24;
   9, 45,   3,  9, 18,  6, 36,   18;
  10,  5,  20, 15,  2, 10,  5,   20,  15;
  11, 66,  44, 33, 99, 22, 88, 4070, 660, 231;
  ...
		

Links

• Alois P. Heinz, Rows n = 2..142, flattened
• Eric Weisstein's World of Mathematics, Unit Fraction.
• Wikipedia, Greedy algorithm for Egyptian fractions.

Crossrefs

Cf. A050205, A050206.

Extensions

Offset changed to 2 by Alois P. Heinz, Sep 25 2014