A326711 The number of terms in the greedy Egyptian fraction expansion of 1 = 1/n + 1/(n+1) + 1/(n+2) + ... + 1/A069257(n).

3, 5, 8, 11, 12, 16, 18, 18, 21, 25, 29, 27, 28, 36, 35, 35, 41, 42, 42, 47, 51, 52, 49, 52, 56, 59, 61, 67, 68, 69, 72, 72, 76, 80, 78, 79, 89, 86, 82, 92, 94, 92, 101, 100, 99, 102, 101, 109, 108, 114, 115, 114, 114, 120, 125

Offset

2,1

Links

Table of n, a(n) for n=2..56.

Example

a(3) = 5 since the expansion 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/20 has 5 terms.

Mathematica

a[n_] := Module[{c = 1, s = 1/n, k = n}, While[s < 1, k = Max[k + 1, Ceiling[1/(1 - s)]]; s += 1/k; c++]; c]; Array[a, 20, 2]

Crossrefs

Cf. A069257.

Sequence in context: A117668 A184410 A184332 * A050098 A025512 A288474

Adjacent sequences: A326708 A326709 A326710 * A326712 A326713 A326714

Keyword

nonn,more

Author

Amiram Eldar, Oct 18 2019

Status

approved