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A304285
Sequence gives the odd denominators, in increasing values, of Egyptian fractions whose sum has the concatenation of these denominators as decimal part. Case a(1) = 3.
18
3, 361, 33377, 18729544521131, 9213597883194972217398739, 1057864824471295887547891513136603404869521279141573
OFFSET
1,1
COMMENTS
Similar to A302932 but here only odd denominators are used.
Next term has 103 digits. - Giovanni Resta, Jun 06 2018
LINKS
Eric Weisstein's World of Mathematics, Egyptian fraction
Eric Weisstein's World of Mathematics, Trott constants (similar but with continued fractions)
EXAMPLE
We start from 3 because 1/3 = 0.3333...
Then the next odd integer is 361 because 1/3 + 1/361 = 0.3361034... and so on.
The sum is 0.3 361 33377 18729544521131 ...
MAPLE
P:=proc(q) local a, b, d, n; a:=1/3; b:=1; d:=1/a; print(d);
for n from 1 by 2 to q do if trunc(evalf(a+1/n, 100)*10^(b+ilog10(n)+1))=d*10^(ilog10(n)+1)+n then b:=b+ilog10(n)+1; d:=d*10^(ilog10(n)+1)+n; a:=a+1/n; print(n); fi; od; end: P(10^20);
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Paolo P. Lava, Jun 06 2018
EXTENSIONS
a(4)-a(6) from Giovanni Resta, Jun 06 2018
STATUS
approved