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A023538 Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime. 1
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; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..44.

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, Aug 05 2009]

MATHEMATICA

Nest[Accumulate, Join[{1}, Select[Range@200, PrimeQ]], 2] (* Vladimir Joseph Stephan Orlovsky, Jan 25 2012 *)

CROSSREFS

Cf. A007504, A014148, A014150, A014284, A023538, A178138

Sequence in context: A049480 A216172 A055908 * A085360 A265050 A243738

Adjacent sequences:  A023535 A023536 A023537 * A023539 A023540 A023541

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Correction for change of offset in A158611 and A008578 in Aug 2009 Jaroslav Krizek, Jan 27 2010

STATUS

approved

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Last modified February 20 20:12 EST 2018. Contains 299385 sequences. (Running on oeis4.)