A308221 Number of Egyptian fractions of denominator n which are sum of 3 unit fractions.
3, 6, 8, 11, 11, 16, 13, 19, 19, 22, 16, 29, 18, 26, 29, 31, 21, 38, 22, 41, 37, 32, 25, 51, 33, 36, 41, 49, 27, 58, 28, 51, 44, 42, 49, 69, 28, 45, 51, 71, 31, 74, 32, 61, 69, 48, 36, 87, 48, 67, 58, 68, 36, 82, 66, 85, 62, 54, 41, 109, 33, 57, 86, 82, 69, 89, 40, 80, 71, 98, 44, 121, 38, 59, 91, 84, 77, 101, 46, 118, 81, 62, 52, 139, 79, 65, 79, 106, 49, 138, 80, 89, 77, 70, 83, 143, 47, 98, 107, 128
Offset: 1
Keywords
Examples
There are a(1) = 3 Egyptian fractions with denominator n = 1 which are sums of 3 unit fractions: 1/1 = 1/3 + 1/3 + 1/3, 2/1 = 1/1 + 1/2 + 1/2, and 3/1 = 1/1 + 1/1 + 1/1.
Links
- Cyril Banderier, Florian Luca, Francesco Pappalardi, Numerators of Egyptian fractions, 2019.