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A002098
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G.f.: 1/Product_{k>=1} (1-prime(k)*x^prime(k)).
(Formerly M0597 N0215)
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4
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1, 0, 2, 3, 4, 11, 17, 29, 49, 85, 144, 226, 404, 603, 1025, 1679, 2558, 4201, 6677, 10190, 16599, 25681, 39643, 61830, 96771, 147114, 228338, 352725, 533291, 818624, 1263259, 1885918, 2900270, 4396577, 6595481, 10040029, 15166064, 22642064
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| S.M. Kerawala, On a Pair of Arithmetic Functions Analogous to Chawla's Pair, J. Natural Sciences and Mathematics, 9 (1969), circa p. 103.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..500
H. Havermann: Tables of sum-of-prime-factors sequences (overview with links to the first 50000 sums).
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MAPLE
| b:= proc(n, i) option remember;
if n<0 then 0
elif n=0 then 1
elif i=0 then 0
else b(n, i-1) +b(n-ithprime(i), i) *ithprime(i)
fi
end:
a:= n-> b(n, numtheory[pi](n)):
seq (a(n), n=0..40);
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CROSSREFS
| Cf. A002099.
Row sums of array A116864.
Sequence in context: A141704 A061919 A192613 * A162969 A104109 A066347
Adjacent sequences: A002095 A002096 A002097 * A002099 A002100 A002101
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Better description and more terms from Vladeta Jovovic (vladeta(AT)eunet.rs), May 09 2003
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