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

2,1

Links

Alois P. Heinz, Rows n = 2..142, flattened

Eric Weisstein's World of Mathematics, Unit Fraction.

Wikipedia, Greedy algorithm for Egyptian fractions.

Example

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;
  ...

Crossrefs

Cf. A050205, A050206.

Sequence in context: A021427 A352478 A091834 * A003573 A111804 A246835

Adjacent sequences: A050207 A050208 A050209 * A050211 A050212 A050213

Keyword

nonn,tabl,easy

Author

Eric W. Weisstein

Extensions

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

Status

approved