|
Search: id:A118465
|
|
| |
|
| 0, 9, 66, 219, 516, 1005, 1734, 2751, 4104, 5841, 8010, 10659, 13836, 17589, 21966, 27015, 32784, 39321, 46674, 54891, 64020, 74109, 85206, 97359, 110616, 125025, 140634, 157491, 175644, 195141, 216030, 238359, 262176, 287529, 314466, 343035
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
(8*n^3 + n, 8*n^3 - n) solves the Diophantine equation 2*(X-Y)^3-(X+Y)=0.
(m*(2n)^k+n, m*(2n)^k-n) solves the Diophantine equation: 2m*(X-Y)^k-(X+Y)=0 with X>=Y,k>=2 and where m is a natural integer. Also ((m*n^k+n)/2, (m*n^k-n)/2) solves the Diophantine equation: m*(X-Y)^k-(X+Y)=0 with X>=Y,k>=2 where m is an odd number
|
|
FORMULA
|
G.f.: 3*x*(x+3)*(3*x+1)/(-1+x)^4. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
|
|
MATHEMATICA
|
Table[8*n^3 + n, {n, 0, 35}]
|
|
CROSSREFS
|
Cf. A006003.
Sequence in context: A100311 A120286 A122733 this_sequence A051375 A081902 A002695
Adjacent sequences: A118462 A118463 A118464 this_sequence A118466 A118467 A118468
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Mohamed Bouhamida (bhmd95(AT)yahoo.fr), May 16 2006, Oct 02 2007
|
|
EXTENSIONS
|
Edited by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 24 2007
|
|
|
Search completed in 0.002 seconds
|
