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A306349 Number of terms in the greedy Egyptian fraction representation of n. 2
1, 4, 13, 35, 99 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) >= A004080(n).

a(6) > 255 and the denominator of the 255th term in the representation of 6 has 1264021241 digits.

LINKS

Table of n, a(n) for n=1..5.

Index entries for sequences related to Egyptian fractions

EXAMPLE

a(3)=13 is the number of terms of A140335;

a(4)=35 is the number of terms of A281873.

PROG

(Python)

from sympy.ntheory import egyptian_fraction

def A306349(n): return len(egyptian_fraction(n))

CROSSREFS

Cf. A004080, A140335, A281873.

Sequence in context: A189602 A317781 A271358 * A268996 A270988 A272556

Adjacent sequences:  A306345 A306346 A306348 * A306350 A306351 A306352

KEYWORD

nonn,more

AUTHOR

Pontus von Brömssen, Feb 09 2019

STATUS

approved

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Last modified March 24 19:48 EDT 2019. Contains 321448 sequences. (Running on oeis4.)