|
| |
|
|
A110299
|
|
a(n) = sum(i=0..n-1){2^i*prime(n-i)}.
|
|
0
| |
|
|
2, 7, 19, 45, 101, 215, 447, 913, 1849, 3727, 7485, 15007, 30055, 60153, 120353, 240759, 481577, 963215, 1926497, 3853065, 7706203, 15412485, 30825053, 61650195, 123300487, 246601075, 493202253, 986404613, 1972809335, 3945618783
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Primes in this sequence include: a(1) = 2, a(2) = 7, a(3) = 19, a(5) = 101, a(10) = 3727, a(17) = 481577, a(21) = 7706203, a(28) = 986404613. Note that a(3^2) = 1849 = 43^2. - Jonathan Vos Post (jvospost3(AT)gmail.com), Sep 07 2005
|
|
|
REFERENCES
| Eric Angelini, "Array with primes." Pers. comm. on the SeqFan mailing list, Sep. 7 2005.
|
|
|
MATHEMATICA
| Table[Sum[2^i * Prime[n-i], {i, 0, n-1}], {n, 1, 30}]
|
|
|
CROSSREFS
| Sequence in context: A152461 A100119 A078842 * A112304 A006589 A099484
Adjacent sequences: A110296 A110297 A110298 * A110300 A110301 A110302
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Ryan Propper (rpropper(AT)stanford.edu), Sep 07 2005
|
| |
|
|
