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A038522 On (2n+1)X(2n+1) board, let m(i)=number of squares i knight's moves from center; sequence gives max m(i), i=0,... 1
1, 1, 8, 20, 32, 52, 68, 76, 96, 96, 120, 120, 148, 144, 176, 168, 204, 188 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

Problem E2605*, Labels on a Chessboard, proposed by Andreas P. Hadjipolakis, Anopolis Sfakion, Crete, Greece, Am. Math. Monthly Vol. 83 (1976), no. 7 (Aug-Sept.), p. 566. Solution: Vol. 84 (1977), p. 822 by Roger Weitzenkamp.

EXAMPLE

On 5 X 5 board, [ m(0),...,m(4) ]=[ 1,8,8,4,4 ], max=8, so a(2)=8.

CROSSREFS

Cf. A018842.

Sequence in context: A022757 A194218 A017617 * A186293 A158865 A139570

Adjacent sequences:  A038519 A038520 A038521 * A038523 A038524 A038525

KEYWORD

nonn,walk,nice

AUTHOR

xpolakis(AT)hol.gr (Antreas P. Hatzipolakis)

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Last modified February 16 16:00 EST 2012. Contains 205938 sequences.