|
| |
|
|
A204814
|
|
Number of decompositions of 2n into an unordered sum of two Ramanujan primes.
|
|
5
|
|
|
|
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 3, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 4, 0, 0, 1, 2, 0, 2, 0, 1, 1, 3, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 4, 0, 1, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,29
|
|
|
COMMENTS
|
Suggested by John W. Nicholson.
There are 95 zeros in the first 10000 terms. Are there more? Related to Goldbach's conjecture. - T. D. Noe, Jan 27 2012
There are no other zeros in the first 10^8 terms. a(n) > 0 for n from 1313 to 10^8. - Donovan Johnson, Jan 27 2012
|
|
|
LINKS
|
Donovan Johnson, Table of n, a(n) for n = 1..10000
|
|
|
EXAMPLE
|
a(29) = 3. 2*29 = 58 = 11+47 = 17+41 = 29+29 (11, 17, 29, 41 and 47 are all Ramanujan primes). 58 is the unordered sum of two Ramanujan primes in three ways.
|
|
|
CROSSREFS
|
Cf. A045917, A104272, A173634.
Sequence in context: A186717 A186038 A091009 * A174903 A167163 A005890
Adjacent sequences: A204811 A204812 A204813 * A204815 A204816 A204817
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Donovan Johnson, Jan 27 2012
|
|
|
STATUS
|
approved
|
| |
|
|
