login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157414 Decimal expansion of sum_{q = semiprimes = A001358} 1/(q*2^q). 1
0, 1, 8, 5, 5, 0, 2, 6, 6, 2, 7, 9, 9, 4, 9, 7, 0, 6, 5, 8, 9, 2, 6, 5, 4, 8, 5, 2, 8, 8, 2, 0, 4, 7, 7, 7, 4, 3, 0, 1, 6, 8, 9, 3, 1, 8, 6, 9, 2, 7, 5, 1, 2, 7, 0, 3, 2, 8, 2, 8, 9, 3, 0, 0, 3, 5, 0, 1, 5, 8, 8, 4, 7, 7, 6, 3, 7, 1, 6, 5, 7, 3, 8, 8, 0, 1, 5, 8, 5, 4, 6, 3, 6, 6, 7, 7, 0, 3, 8, 1, 7, 4, 1, 8, 3 (list; constant; graph; refs; listen; history; internal format)
OFFSET

0,3

LINKS

R. J. Mathar, Series of reciprocal powers of k-almost primes, arxiv:0803.0900, eq. (66).

FORMULA

A002162 = sum_{n>=1} 1/(n*2^n) = 1/2 + A157413 + this_constant_here + equivalent terms of higher order k-almost primes.

EXAMPLE

0.0185502662799497065892654852882047774... = 1/(4*2^4)+1/(6*2^6)+1/(9*2^9)+1/(10*2^10)+... = sum_{i>=1} 1/(A001358(i)*2^A001358(i)).

CROSSREFS

Sequence in context: A199956 A000052 A072991 * A021543 A201295 A011107

Adjacent sequences:  A157411 A157412 A157413 * A157415 A157416 A157417

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 28 2009

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 18 00:14 EST 2012. Contains 206085 sequences.