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A206393
Number of nX5 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order
1
5, 172, 1592, 16784, 170796, 1787258, 18574298, 193499878, 2014220262, 20973561786, 218384365724, 2274041419152, 23679689583822, 246582133806618, 2567714799158370, 26738384205646006, 278434494273903426
OFFSET
1,1
COMMENTS
Column 5 of A206396
LINKS
FORMULA
Empirical: a(n) = 19*a(n-1) -28*a(n-2) -1368*a(n-3) +6837*a(n-4) +30894*a(n-5) -259715*a(n-6) -158240*a(n-7) +4305294*a(n-8) -2907345*a(n-9) -36456187*a(n-10) +17700441*a(n-11) +264833772*a(n-12) +359253348*a(n-13) -3077852142*a(n-14) -4085375360*a(n-15) +29632825925*a(n-16) +13040334064*a(n-17) -175557464522*a(n-18) -60798023894*a(n-19) +1054573134761*a(n-20) +156059590354*a(n-21) -7365833614192*a(n-22) +9642172417687*a(n-23) +18919359102713*a(n-24) -74981349795094*a(n-25) +77760958965261*a(n-26) +59754494935940*a(n-27) -287857949600101*a(n-28) +691064089663409*a(n-29) -956324740445126*a(n-30) -738343162745785*a(n-31) +3909998344750953*a(n-32) -3355221285631341*a(n-33) -1701316400605256*a(n-34) +3179682162276913*a(n-35) -270478484532986*a(n-36) -5293044447668192*a(n-37) +25344266042370966*a(n-38) -28784566717360175*a(n-39) -17947836174493735*a(n-40) +67609956522748602*a(n-41) -101102908627491482*a(n-42) +104803692847485310*a(n-43) -57693328594689530*a(n-44) -10870560756068936*a(n-45) +69553561235094500*a(n-46) -80973326026485056*a(n-47) +47246917468719560*a(n-48) -11386765181702208*a(n-49) -2931176567684912*a(n-50) +4099580409184672*a(n-51) -2335307914381056*a(n-52) +605917226114688*a(n-53) +41498237271040*a(n-54) -93505834844160*a(n-55) +25819492058112*a(n-56) +690971830272*a(n-57) -51588218880*a(n-58) +2691366912*a(n-59) for n>63
EXAMPLE
Some solutions for n=4
..0..1..2..3..0....0..1..2..3..4....0..1..2..0..1....0..1..2..3..4
..2..3..4..5..1....4..5..0..1..5....2..3..4..5..2....3..4..0..5..1
..5..0..1..2..3....1..2..3..4..0....1..5..0..3..4....5..2..1..4..0
..3..2..5..4..0....3..4..1..5..2....0..4..1..2..5....4..0..3..2..5
CROSSREFS
Sequence in context: A157234 A231279 A210832 * A220640 A198711 A210927
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 07 2012
STATUS
approved