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Search: id:A014284
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| A014284 |
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Partial sums of primes (starting with 1). |
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+0
13
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| 1, 3, 6, 11, 18, 29, 42, 59, 78, 101, 130, 161, 198, 239, 282, 329, 382, 441, 502, 569, 640, 713, 792, 875, 964, 1061, 1162, 1265, 1372, 1481, 1594, 1721, 1852, 1989, 2128, 2277, 2428, 2585, 2748, 2915, 3088, 3267, 3448, 3639, 3832, 4029
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = Sum_{k<=n} [(A158611(k)) * (A000012(n-k+1))] = Sum_{k<=n} [(A158611(k)) * (A000012(k))] = Sum_{k<=n} [(A008578(k-1)) * (A000012(n-k+1))] = Sum_{k<=n} [(A158611(k-1)) * (A000012(k))] for n, k >= 1. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 05 2009]
a(n+1) = A007504(n) + 1. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 19 2009]
a(n+1) - a(n) = A000040(n) = n-th primes. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 19 2009]
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MATHEMATICA
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s=1; lst={s}; Do[s+=Prime[n]; AppendTo[lst, s], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 25 2009]
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CROSSREFS
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Cf. A007504.
A036439(n+1) - 1.
Sequence in context: A147456 A011849 A095944 this_sequence A118482 A026905 A066778
Adjacent sequences: A014281 A014282 A014283 this_sequence A014285 A014286 A014287
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KEYWORD
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nonn
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AUTHOR
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Deepan Majmudar (dmajmuda(AT)esq.com)
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