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A023538 Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime. +0
2
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 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = Sum_{k<=n} [(A158611(k)) * (A000027(n-k+1))] = Sum_{k<=n} [(A008578(k-1)) * (A000027(n-k+1))]. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 05 2009]

CROSSREFS

Sequence in context: A008121 A049480 A055908 this_sequence A085360 A024988 A144897

Adjacent sequences: A023535 A023536 A023537 this_sequence A023539 A023540 A023541

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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