|
Search: id:A056766
|
|
|
| A056766 |
|
Smallest member of A056757 (numbers for which cube of number of divisors exceeds the number) between 2^(n-1) and 2^n. |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
FORMULA
|
Smallest x so that 2^(n-1)<x<=2^n and also d[x]^3>x, d[]=A000005.
|
|
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.
|
|
CROSSREFS
|
Cf. A000005, A035033-A035035, A034884, A029837, A056757-A056767.
Adjacent sequences: A056763 A056764 A056765 this_sequence A056767 A056768 A056769
Sequence in context: A119002 A047021 A047031 this_sequence A080091 A000602 A034790
|
|
KEYWORD
|
fini,nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Aug 16 2000
|
|
|
Search completed in 0.002 seconds
|
