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A115027
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Number of intersections of a halfspace with an n X n grid.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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]
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FORMULA
| a(0) = 1; a(n) = 2*A114043(n) if n >= 1
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EXAMPLE
| See A114043 for examples.
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CROSSREFS
| Cf. A114043, A114531.
Sequence in context: A137482 A203576 A178605 * A114146 A096367 A174704
Adjacent sequences: A115024 A115025 A115026 * A115028 A115029 A115030
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KEYWORD
| nonn
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AUTHOR
| David Applegate (david(AT)research.att.com), Feb 24 2006
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