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Search: id:A056763
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| A056763 |
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Number of x integers between 2^(n-1) and 2^n for which d(x)^3 > x holds, i.e. cube of number of divisors of x exceeds the number x and binary size of x is n. |
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1
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| 1, 2, 4, 6, 11, 24, 30, 60, 110, 137, 248, 399, 491, 801, 1146, 1386, 1988, 2525, 2914, 3637, 4081, 4334, 4649, 4579, 4305, 3867, 3211, 2467, 1730
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OFFSET
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1,2
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EXAMPLE
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a(5)=11 because 11 integers occur between 1+2^4=17 and 2^ 5=32 for which the cube of number of divisors exceeds the number itself: {18,20,21,22,24,25,26,27,28,30,32} Between 2^28 and 2^29 1730 such numbers occur.
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CROSSREFS
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Cf. A000005, A029837, A034884, A035033-A035035, A056757-A056767.
Adjacent sequences: A056760 A056761 A056762 this_sequence A056764 A056765 A056766
Sequence in context: A084353 A084979 A049914 this_sequence A129567 A064469 A057700
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KEYWORD
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more,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 16 2000
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