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Search: id:A115027
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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

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Last modified October 12 15:22 EDT 2008. Contains 144830 sequences.


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