|
Search: id:A115027
|
|
|
| A115027 |
|
Number of intersections of a halfspace with an n X n grid. |
|
+0
2
|
|
| 1, 2, 14, 58, 174, 402, 838, 1498, 2566, 4082, 6214, 8986, 12790, 17490, 23646, 31114, 40150, 50914, 64174, 79450, 97870, 118914, 143110, 170506, 202502, 238082, 278702, 323866, 374510, 430274, 493382, 561834, 638694, 722658, 814606, 914362
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
A114043 counts cuts, this counts sides of cuts. The only difference between this and twice A114043 is that this makes sense for the empty grid. This is the "labeled" version - rotations and reflections are not taken into account.
a(n)=A114146(n), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 11 2008]
|
|
FORMULA
|
a(0) = 1; a(n) = 2*A114043(n) if n >= 1
|
|
EXAMPLE
|
See A114043 for examples.
|
|
CROSSREFS
|
Cf. A114043, A114531.
Adjacent sequences: A115024 A115025 A115026 this_sequence A115028 A115029 A115030
Sequence in context: A064363 A067056 A137482 this_sequence A114146 A096367 A058738
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
David Applegate (david(AT)research.att.com), Feb 24 2006
|
|
|
Search completed in 0.002 seconds
|
