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A157248
'Greedy' sequence formed by summing unit fractions until the sum is 1, and repeating using up the 'left over' fractions.
3
1, 2, 3, 6, 4, 5, 7, 8, 9, 10, 15, 230, 57960, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 1544, 8242614, 92401258430373, 36895712779713620978746324067
OFFSET
1,2
COMMENTS
Subsequence of starting elements of each pass may be related to A002387 1,2,4,11,31,83,... - David W. Wilson
REFERENCES
H. Ibstedt, Computer Analysis of Number Sequences, American Research Press, 1998; Chapter VI.2 Integers represented as sums of terms of the harmonic series.
LINKS
EXAMPLE
1/2+1/3+1/6=1
PROG
(PARI) {r=1; u=[]; l=1; for(n=1, 99, while(setsearch(u, l), l++); m=ceil(1/r); while(setsearch(u, m), m++); print1(m", "); r-=1/m; r||r=1; u=setunion(u, Set(m)))} \\ M. F. Hasler
CROSSREFS
Cf. A192881.
Sequence in context: A246835 A213625 A132368 * A368229 A085515 A082354
KEYWORD
nonn
AUTHOR
Jeremy Gardiner, Feb 25 2009
STATUS
approved