A308220 Number of irreducible Egyptian fractions of denominator n which are the sum of 2 unit fractions.

2, 2, 3, 3, 4, 3, 4, 4, 5, 4, 6, 4, 4, 5, 5, 5, 6, 5, 6, 6, 8, 4, 8, 6, 6, 7, 8, 7, 8, 6, 6, 7, 7, 7, 10, 7, 4, 7, 11, 8, 8, 7, 6, 8, 9, 5, 10, 9, 8, 9, 9, 9, 8, 7, 12, 9, 10, 6, 12, 9, 4, 8, 11, 9, 12, 9, 6, 10, 12, 8, 12, 10, 4, 9, 13, 10, 13, 7, 10, 11, 10, 6, 12, 12, 10, 9, 12, 10, 12, 10, 10, 9, 10, 7, 12, 11, 6, 11, 13, 12

Offset

1,1

Links

Table of n, a(n) for n=1..100.

Cyril Banderier, Florian Luca, Francesco Pappalardi, Numerators of Egyptian fractions, 2019.

Formula

For p prime, a(p) = number_of_divisors(p+1).

Example

There are a(2)=2 irreducible fractions with denominator n=2 which are sums of 2 unit fractions: 1/2 = 1/4 + 1/4 and 3/2 = 1/1 + 1/2.

Crossrefs

Cf. A308219, A308221, A308415.

Sequence in context: A207034 A226164 A366604 * A302039 A056239 A161511

Adjacent sequences: A308217 A308218 A308219 * A308221 A308222 A308223

Keyword

nonn

Author

Cyril Banderier, May 15 2019

Status

approved