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Search: id:A135485
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| A135485 |
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Sum_{i=1..n) p(i)^(i-1), where p(i) denotes i-th prime number. |
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+0
2
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| 1, 4, 29, 372, 15013, 386306, 24523875, 918395614, 79229380895, 14586375356764, 834214662337565, 178751836441797978, 22742242136807984059, 1741006366419098769302, 258407992554086508103671
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The primes in this sequence are: 29 = 2^0+3^1+5^2, 15013 = 2^0+3^1+5^2+7^3+11^4, 82630...60939 (107 digits number) = 2^0+3^1+5^2+....+211^46, ...
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MATHEMATICA
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f[n_] := Sum[Prime[i]^(i - 1), {i, n}]; Array[f, 16] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A000040, A087480, A135484.
Sequence in context: A099700 A137646 A000798 this_sequence A162287 A166168 A126559
Adjacent sequences: A135482 A135483 A135484 this_sequence A135486 A135487 A135488
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KEYWORD
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nonn
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AUTHOR
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Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), Feb 07 2008, Feb 17 2008
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 12 2008
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