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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A089822 Number of subsets of {1,.., n} containing exactly two primes. 4
0, 0, 2, 4, 12, 24, 48, 96, 192, 384, 640, 1280, 1920, 3840, 7680, 15360, 21504, 43008, 57344, 114688, 229376, 458752, 589824, 1179648, 2359296, 4718592, 9437184, 18874368, 23592960, 47185920, 57671680, 115343360, 230686720 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

a(n) = A000217(A000720(n)-1)*A089819(n);

for n>2: a(n) = A089818(n,2).

FORMULA

a(n) = (pi(n)*(pi(n)-1)*2^(n-pi(n)))/2, with pi = A000720.

EXAMPLE

a(5)=12 subsets of {1,2,3,4,5} contain exactly two primes: {2,3},

{2,5}, {3,5}, {1,2,3}, {1,2,5}, {1,3,5}, {2,3,4}, {2,4,5}, {3,4,5},

{1,2,3,4}, {1,2,4,5} and {1,3,4,5}.

CROSSREFS

Cf. A089821.

Sequence in context: A059322 A163908 A108720 * A079352 A089888 A181809

Adjacent sequences:  A089819 A089820 A089821 * A089823 A089824 A089825

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 12 2003

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 16 06:27 EST 2012. Contains 205860 sequences.