A225755 Decimal expansion of the constant obtained through Lüroth retro-expansion of the prime sequence.

2, 3, 6, 7, 8, 7, 5, 3, 1, 9, 8, 0, 7, 7, 0, 9, 6, 0, 5, 0, 3, 3, 5, 0, 2, 1, 1, 7, 7, 0, 0, 7, 9, 3, 8, 4, 8, 8, 8, 1, 0, 2, 5, 5, 2, 0, 7, 9, 0, 4, 5, 0, 4, 9, 9, 8, 8, 8, 7, 8, 0, 1, 7, 2, 0, 6, 9, 9, 6, 5, 5, 1, 6, 0, 1, 4, 8, 0, 5, 9, 9, 7, 5, 3, 4, 3, 7, 9, 4, 5, 2, 4, 8, 3, 5, 8, 9, 6, 9, 5, 4, 7, 3, 1, 1

Offset

1,1

Links

Paolo P. Lava, Table of n, a(n) for n = 1..1000

Arnold Knopfmacher and John Knopfmacher, Representations for real numbers via k-th powers of integers, University of Witwatersrand, Johannesburg, South Africa 2050, February 1987.

Example

n=2+1/3+1/[(3-1)*3*5]+1/[(3-1)*3*(5-1)*5*7]+... = 2.3678753198077096050335021177007938488810255207904504998...

Maple

with(numtheory); A225755:=proc(q) local a, b, n;
b:=3; a:=2+1/b; for n from 3 to q do
b:=b*(ithprime(n-1)-1)*ithprime(n); a:=a+1/b;
od; print(evalf(a, 2000)); end: A225755(10^4);

Crossrefs

Cf. A064648, A132120.

Sequence in context: A245444 A088573 A181514 * A126388 A039247 A377463

Adjacent sequences: A225752 A225753 A225754 * A225756 A225757 A225758

Keyword

nonn,cons

Author

Paolo P. Lava, May 28 2013

Status

approved