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Search: id:A109443
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| A109443 |
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Cumulative sum of largest prime power <= n. |
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+0
1
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| 1, 3, 6, 10, 15, 20, 27, 35, 44, 53, 64, 75, 88, 101, 114, 130, 147, 164, 183, 202, 221, 240, 263, 286, 311, 336, 363, 390, 419, 448, 479, 511, 543, 575, 607, 639, 676, 713, 750, 787, 828, 869, 912, 955, 998
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Integers in this sequence which are themselves primes include: a(2) = 3, a(10) = 53, a(14) = 101, a(23) = 263, a(25) = 311, a(29) = 419, a(31) = 479, a(35) = 607, a(40) = 787. Integers in this sequence which are themselves powers greater than 1 of primes include: a(7) = 27, a(11) = 64. Integers in this sequence which are perfect powers greater than 1 of composites include: a(37) = 676.
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FORMULA
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a(n) = SUM[from i = 1 to n] A031218(i).
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CROSSREFS
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Cf. A031218.
Sequence in context: A033438 A037452 A047800 this_sequence A138777 A096895 A034175
Adjacent sequences: A109440 A109441 A109442 this_sequence A109444 A109445 A109446
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 26 2005
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