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A298632
Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.
1
1, 24, 7, 25, 34, 61, 107, 234, 433, 961, 2031, 4286, 9049, 19572, 42207, 90557, 194112, 418184, 901007, 1939807, 4174626, 8990616, 19367572, 41712507, 89838136, 193510412, 416852536, 897902639, 1934114676, 4166302499, 8974865117
OFFSET
1,2
COMMENTS
Column 5 of A298635.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +8*a(n-4) -11*a(n-5) -21*a(n-6) +2*a(n-7) -20*a(n-8) +16*a(n-9) +84*a(n-10) +73*a(n-11) +27*a(n-12) -52*a(n-13) -169*a(n-14) -183*a(n-15) -110*a(n-16) +93*a(n-17) +314*a(n-18) +312*a(n-19) -93*a(n-20) -92*a(n-21) +137*a(n-22) -389*a(n-23) -208*a(n-24) +349*a(n-25) -384*a(n-26) -641*a(n-27) +876*a(n-28) +417*a(n-29) -387*a(n-30) +281*a(n-31) +240*a(n-32) -875*a(n-33) -87*a(n-34) +712*a(n-35) +36*a(n-36) -340*a(n-37) +530*a(n-38) +237*a(n-39) -522*a(n-40) -182*a(n-41) +26*a(n-42) -207*a(n-43) -81*a(n-44) +230*a(n-45) +220*a(n-46) -21*a(n-47) -58*a(n-48) +23*a(n-49) -4*a(n-50) -115*a(n-51) -50*a(n-52) +76*a(n-53) +6*a(n-54) -16*a(n-55) +34*a(n-56) +4*a(n-57) -12*a(n-58) for n>64
EXAMPLE
Some solutions for n=5
..0..0..0..0..0. .0..0..1..0..0. .0..0..1..0..0. .0..0..1..0..0
..0..1..1..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..1..0
..1..0..0..0..1. .1..0..0..0..1. .0..1..0..1..1. .1..1..0..1..0
..1..1..0..1..1. .1..0..1..1..0. .1..0..0..1..0. .0..1..0..1..0
..1..0..0..0..1. .1..1..0..0..0. .1..1..1..0..0. .0..0..1..0..0
CROSSREFS
Cf. A298635.
Sequence in context: A339008 A068613 A297983 * A241362 A363793 A033823
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 23 2018
STATUS
approved