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A056766
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Smallest member of A056757 (numbers for which cube of number of divisors exceeds the number) between 2^(n-1) and 2^n.
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0
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2, 3, 5, 9, 18, 33, 66, 130, 258, 516, 1026, 2052, 4100, 8200, 16400, 32800, 65550, 131100, 262200, 524400, 1048800, 2097600, 4195200, 8390400, 16783200, 33566400, 67132800, 134265600, 268606800, 537213600, 1074427200, 2148854400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| Smallest x so that 2^(n-1)<x<=2^n and also d[x]^3>x, d[]=A000005.
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EXAMPLE
| n=7, 64< a(7)=66 <128, d(66)=8, d^3=512>66 and no more such number occurs between 64 and 66. n=31, a(31)=1074427200, 2^30<a(31)<2^31; it has 1344 divisors of which the cube 2427715584>1074427200. Between 2^30 and a(31) no more terms occur with similar property.
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CROSSREFS
| Cf. A000005, A035033-A035035, A034884, A029837, A056757-A056767.
Sequence in context: A047021 A201359 A047031 * A080091 A000602 A034790
Adjacent sequences: A056763 A056764 A056765 * A056767 A056768 A056769
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KEYWORD
| fini,nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 16 2000
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