|
Search: id:A147656
|
|
|
| A147656 |
|
Terms of this sequence are "mid-points" between successive cubes |
|
+0
1
|
|
| 0, 4, 17, 45, 94, 170, 279, 427, 620, 864, 1165, 1529, 1962, 2470, 3059, 3735, 4504, 5372, 6345, 7429, 8630, 9954, 11407, 12995, 14724, 16600, 18629, 20817, 23170, 25694, 28395, 31279, 34352, 37620, 41089, 44765, 48654, 52762, 57095, 61659
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The terms of this sequence relate to intervals between cubes in the same fashion as terms of A002378 are related to intervals between squares.
|
|
FORMULA
|
a(n)=A000578(n)+A045943(n) = n(2n^2+3n+3)/2. G.f.: x(4+x+x^2)/(1-x)^4. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 11 2008]
|
|
PROGRAM
|
(PARI) j=[]; for (n=0, 40, j=concat(j, n^3+floor(((n+1)^3 - n^3)/2))); j
|
|
CROSSREFS
|
Sequence in context: A018973 A162148 A166781 this_sequence A095667 A119949 A131339
Adjacent sequences: A147653 A147654 A147655 this_sequence A147657 A147658 A147659
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alexander R. Povolotsky (pevnev(AT)juno.com), Nov 09 2008
|
|
|
Search completed in 0.002 seconds
|
