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Search: id:A110299
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| A110299 |
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a(n) = sum(i=0..n-1){2^i*prime(n-i)}. |
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+0
1
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| 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
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OFFSET
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1,1
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COMMENT
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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
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REFERENCES
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Eric Angelini, "Array with primes." Pers. comm. on the SeqFan mailing list, Sep. 7 2005.
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MATHEMATICA
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Table[Sum[2^i * Prime[n-i], {i, 0, n-1}], {n, 1, 30}]
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CROSSREFS
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Sequence in context: A152461 A100119 A078842 this_sequence A112304 A006589 A099484
Adjacent sequences: A110296 A110297 A110298 this_sequence A110300 A110301 A110302
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KEYWORD
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nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Sep 07 2005
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