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A278213 Triangle read by rows: T(n, k) with 0 <= k <= n^2 is the maximum number of moves that can be made by k non-attacking bishops on an n X n board. 3
0, 0, 0, 1, 2, 1, 0, 0, 4, 6, 8, 8, 8, 8, 6, 4, 0, 0, 5, 10, 13, 16, 17, 18, 19, 20, 19, 18, 17, 16, 12, 8, 4, 0, 0, 8, 14, 20, 24, 28, 30, 32, 34, 35, 36, 38, 38, 38, 37, 36, 36, 32, 28, 24, 20, 16, 12, 8, 4, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table begins:

0, 0

0, 1, 2, 1, 0

0, 4, 6, 8, 8, 8, 8, 6, 4, 0

0, 5, 10, 13, 16, 17, 18, 19, 20, 19, 18, 17, 16, 12, 8, 4, 0

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

T(4, 3) = 13 with the following 3 bishops on a 4x4 board:

   +---+---+---+---+

  4|   |   | B |   |

   +---+---+---+---+

  3|   |   | B |   |

   +---+---+---+---+

  2|   |   | B |   |

   +---+---+---+---+

  1|   |   |   |   |

   +---+---+---+---+

     A   B   C   D

The bishop at C4 has three legal moves and the bishops at C3 and C2 have five legal moves each.

CROSSREFS

Cf. A278212.

Sequence in context: A274776 A274777 A136129 * A034093 A246187 A079508

Adjacent sequences:  A278210 A278211 A278212 * A278214 A278215 A278216

KEYWORD

nonn,more,tabf

AUTHOR

Peter Kagey, Nov 16 2016

STATUS

approved

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Last modified January 21 11:49 EST 2019. Contains 319354 sequences. (Running on oeis4.)