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Search: id:A087328
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| A087328 |
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Independence numbers for KT_3 knight on hexagonal board. |
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+0
3
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| 1, 3, 4, 4, 9, 12, 15, 16, 22, 27, 31, 36, 43, 51, 58, 64, 75, 83, 93, 100, 112, 123, 133, 144, 157, 171, 184, 196, 213, 227, 243, 256, 274, 291, 307, 324, 343, 363, 382, 400, 423, 443, 465, 484, 508, 531, 553, 576, 601, 627, 652, 676, 705, 731, 759, 784, 814
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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J.-P. Bode and H. Harborth, Independence for knights on hexagon and triangle boards, Discrete Math., 272 (2003), 27-35.
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FORMULA
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a(n) = ceiling(n^2/4) if n == 0, 1, 4, 8, 11 (mod 12), ceiling(n^2/4) + 1 if n == 3, 9 (mod 12) and ceiling(n^2/4) + 2 if n == 2, 5, 6, 7, 10 (mod 12) and n != 6.
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CROSSREFS
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Cf. A087327, A087329.
Adjacent sequences: A087325 A087326 A087327 this_sequence A087329 A087330 A087331
Sequence in context: A137529 A086180 A016608 this_sequence A089411 A025508 A023189
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KEYWORD
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nonn,easy
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AUTHOR
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njas, Oct 21 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 06 2005
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