|
Search: id:A081175
|
|
|
| A081175 |
|
Numbers of the form {sum(i^j,i=1..k), j>1, k>1}. |
|
+0
1
|
|
| 1, 3, 5, 6, 9, 10, 14, 15, 17, 21, 28, 30, 33, 36, 45, 55, 65, 66, 78, 91, 98, 100, 105, 120, 129, 136, 140, 153, 171, 190, 204, 210, 225, 231, 253, 257, 276, 285, 300, 325, 351, 354, 378, 385, 406, 435, 441, 465, 496, 506, 513, 528, 561, 595, 630, 650, 666, 703
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Intersection of sums of k-th powers, k = 1..infinity.
|
|
EXAMPLE
|
30 is in the set because 30 = 1^2 + 2^2 + 3^2 + 4^2 (j=2, k=4).
|
|
MATHEMATICA
|
Take[ Union[ Flatten[ Table[ Sum[ i^j, {i, 1, n}], {j, 1, 9}, {n, 1, 40}]]], 60]
|
|
CROSSREFS
|
Cf. A000217, A000330, A000537, A000538, A000539, A000540, A000541, A000542, A007487, A023002.
Adjacent sequences: A081172 A081173 A081174 this_sequence A081176 A081177 A081178
Sequence in context: A072716 A112649 A050083 this_sequence A094598 A122194 A053091
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
njas, Apr 18 2003
|
|
EXTENSIONS
|
Corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 08 2003
|
|
|
Search completed in 0.002 seconds
|
