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Search: id:A072916
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| A072916 |
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Number of m such that Floor[Prime[m]/m] = n. |
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+0
1
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| 3, 8, 19, 41, 117, 254, 616, 1642, 3766, 9461, 24183, 60252, 151368, 385600, 979844, 2507393, 6428977, 16513542, 42642649, 110283280, 285776799, 742428731, 1932223170, 5038580446, 13159683245, 34423463648, 90173540312
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OFFSET
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1,1
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EXAMPLE
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Only m = 2,3,4 give [p(m)/m] = 1, so a(1) = 3.
There are 8 values of m giving Floor[Prime[m]/m] = 2, namely m = 1,5,6,7,8,9,10,11, so a(2) = 8.
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MATHEMATICA
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a(n_) := Length[Cases[Table[Floor[Prime[m]/m], {m, 1, 1000000}], n]]
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CROSSREFS
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Cf. A062742, A102281.
Sequence in context: A006380 A095846 A089924 this_sequence A074839 A002318 A095681
Adjacent sequences: A072913 A072914 A072915 this_sequence A072917 A072918 A072919
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com) Aug 11 2002
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EXTENSIONS
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a(16) through a(27) from Farideh Firoozbakht Sep 13 2005
Typo corrected by David W. Wilson, Oct 22 2005
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