The On-Line Encyclopedia of Integer Sequences (OEIS)

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A218661

Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX6 array
(history; published version)

#4 by R. H. Hardin at Sun Nov 04 04:15:45 EST 2012

STATUS

editing

approved

#3 by R. H. Hardin at Sun Nov 04 04:15:42 EST 2012

LINKS

R. H. Hardin, <a href="/A218661/b218661.txt">Table of n, a(n) for n = 1..207</a>

#2 by R. H. Hardin at Sun Nov 04 04:15:26 EST 2012

NAME

allocated for R. H. Hardin

Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX6 array

DATA

31, 3519, 199489, 12383361, 775176415, 48231228511, 3004025019009, 187110346460865, 11653760352498463, 725837910289490239, 45207782461323582145, 2815700819921566341313, 175371845132587985115103

OFFSET

1,1

COMMENTS

Column 6 of A218663

FORMULA

Empirical: a(n) = 44*a(n-1) +867*a(n-2) +16044*a(n-3) +52184*a(n-4) +219408*a(n-5) -2896552*a(n-6) +917568*a(n-7) -25421202*a(n-8) +135406584*a(n-9) -107845290*a(n-10) +627256872*a(n-11) -2093643936*a(n-12) +1109711664*a(n-13) -4042730304*a(n-14) +9244418112*a(n-15) +947037339*a(n-16) +1414420380*a(n-17) -4269096657*a(n-18) -173831508*a(n-19) -21695040*a(n-20) +555393024*a(n-21)

EXAMPLE

Some solutions for n=3

..0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..0..1..1....0..1..1..1..1..0

..0..0..0..1..1..1....1..1..0..0..0..1....1..0..0..0..0..0....1..0..0..1..1..1

..1..1..0..0..0..1....0..1..0..1..0..1....1..0..1..0..0..1....1..1..0..1..1..1

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Nov 04 2012

STATUS

approved

editing

#1 by R. H. Hardin at Sun Nov 04 04:10:18 EST 2012

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved