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Search: id:A137441
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| A137441 |
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Partial sums of partial sums of PrimePi(k). |
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+0
1
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| 0, 1, 4, 9, 17, 28, 43, 62, 85, 112, 144, 181, 224, 273, 328, 389, 457, 532, 615, 706, 805, 912, 1028, 1153, 1287, 1430, 1582, 1743, 1914, 2095, 2287, 2490, 2704, 2929, 3165, 3412, 3671, 3942, 4225, 4520, 4828, 5149, 5484, 5833, 6196, 6573, 6965, 7372, 7794
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a(n) = partial sum of A046992 = partial sum of partial sum of PrimePi(k) = partial sum of partial sum of A000720(k) = sum_{j=1..n} (sum_{k=1..j} PrimePi(k)).
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MAPLE
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A000720 := proc(n) option remember ; numtheory[pi](n) ; end: A046992 := proc(n) option remember ; add( A000720(i), i=1..n) ; end: A137441 := proc(n) add( A046992(i), i=1..n) ; end: seq(A137441(n), n=1..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2008
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CROSSREFS
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Cf. A000720, A046992.
Adjacent sequences: A137438 A137439 A137440 this_sequence A137442 A137443 A137444
Sequence in context: A008137 A008023 A008055 this_sequence A005744 A027367 A009879
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 17 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2008
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