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A023538
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Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.
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2
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1, 4, 10, 21, 39, 68, 110, 169, 247, 348, 478, 639, 837, 1076, 1358, 1687, 2069, 2510, 3012, 3581, 4221, 4934, 5726, 6601, 7565, 8626, 9788, 11053, 12425, 13906, 15500, 17221, 19073, 21062, 23190, 25467, 27895, 30480, 33228, 36143, 39231, 42498, 45946, 49585
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = Sum_{k<=n} [(A158611(k+1)) * (A000027(n-k+1))] = Sum_{k<=n} [(A008578(k)) * (A000027(n-k+1))]. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 05 2009]
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MATHEMATICA
| Nest[Accumulate, Join[{1}, Select[Range@200, PrimeQ]], 2] (* From Vladimir Joseph Stephan Orlovsky, Jan 25 2012 *)
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CROSSREFS
| Cf. A007504, A014148, A014150, A014284, A023538, A178138
Sequence in context: A008121 A049480 A055908 * A085360 A024988 A144897
Adjacent sequences: A023535 A023536 A023537 * A023539 A023540 A023541
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Correction for change of offset in A158611 and A008578 in Aug 2009 Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Jan 27 2010
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