login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A137197
Decimal expansion of the sum of the reciprocals of the elements of A007908.
0
1, 0, 9, 2, 3, 6, 3, 7, 9, 1, 0, 9, 5, 1, 2, 2, 7, 8, 8, 8, 0, 1, 3, 8, 0, 4, 2, 4, 4, 8, 9, 0, 9, 7, 0, 5, 8, 8, 7, 1, 5, 0, 4, 6, 4, 4, 7, 1, 0, 8, 1, 4, 2, 4, 4, 2, 3, 8, 0, 5, 4, 9, 7, 5, 5, 0, 2, 2, 7, 2, 8, 4, 7, 3, 0, 1, 8, 8, 5, 5, 4, 8, 5, 9, 2, 0, 6, 0, 3, 6, 5, 9, 4, 6, 6, 2, 2, 8, 1, 3, 0
OFFSET
1,3
EXAMPLE
1 + 1/12 + 1/123 + 1/1234 + 1/12345 + 1/123456 + .....= 1.0923637910951227888013796063072721016963921894258793349801635199721622546190953748287037568512919456
MAPLE
> readlib(log10); P:=proc(n) local a, i, j, k; a:=1; k:=2; j:=1; for i from 1 by 1 to n do j:=j*10^(trunc(evalf(log10(k)))+1)+k; a:=a+1/j; k:=k+1; lprint(evalf(a, 101)); od; end: P(1000);
CROSSREFS
Cf. A007908.
Sequence in context: A160108 A011344 A257959 * A340826 A144981 A215267
KEYWORD
easy,nonn,cons
AUTHOR
STATUS
approved