|
Search: id:A053804
|
|
|
| A053804 |
|
Numbers where the difference of consecutive fifth powers is "close" to another fifth power: let A = x^5 - (x-1)^5, sequence is the x's where A - int(A^(1/5))^5 < int(x^(1/2))^5. |
|
+0
1
|
|
| 1, 3509, 8054, 10237, 11911, 24518, 29644, 38259, 40054, 93098, 367053, 408283, 478061, 518644, 538691, 912840, 1008234
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
EXAMPLE
|
a(2)=3509 because A = 3509^5-3508^5 = 757627875663781, and the condition 'A - int(A^(1/5))^5 < int(x^(1/2))^5' simplifies to '757627875663781 - 946^5 < 59^5' which is true.
|
|
CROSSREFS
|
Sequence in context: A031557 A031737 A108117 this_sequence A043448 A035897 A064256
Adjacent sequences: A053801 A053802 A053803 this_sequence A053805 A053806 A053807
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joe K. Crump (joecr(AT)carolina.rr.com), Mar 27 2000
|
|
|
Search completed in 0.002 seconds
|
