The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A278212 Maximum total number of possible moves that any number of bishops of the same color can make on an n X n chessboard. 4
 0, 2, 8, 20, 38 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) <= A275815(n). Conjecture: a(n) = floor(A275815(n)/2). - Peter Kagey, Nov 24 2016 LINKS Peter Kagey, Examples for 1 <= n <= 5. FORMULA Lim_{n->oo} a(n)/n^2 = 4. Putting bishops on the 4n-4 border locations shows that a(n) >= 4(n-2)^2. On the other hand, a(n) <= 4n^2 since each location is in the path of at most 4 bishops. - Chai Wah Wu, Nov 20 2016 EXAMPLE The following 5 X 5 chessboard illustrates a(5) = 38:    +---+---+---+---+---+   5| B | B | B |   | B |    +---+---+---+---+---+   4|   |   |   |   | B |    +---+---+---+---+---+   3| B | B |   |   | B |    +---+---+---+---+---+   2|   |   |   |   | B |    +---+---+---+---+---+   1| B | B | B |   | B |    +---+---+---+---+---+      A   B   C   D   E The bishops at A1, A5, B1, B5, E1, E2, E4, and E5 each have three moves; the bishops at A3, C1, C5, and E3 each have two moves; and the bishop at B3 has six moves. CROSSREFS Cf. A278211, A275815, A278213. Sequence in context: A327100 A130238 A038460 * A077588 A025219 A032767 Adjacent sequences:  A278209 A278210 A278211 * A278213 A278214 A278215 KEYWORD nonn,more AUTHOR Peter Kagey, Nov 15 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 25 09:57 EDT 2020. Contains 334592 sequences. (Running on oeis4.)