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A305338 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 May 30 2018 16:57:41

%S 32,45,166,938,5296,30826,176673,1020555,5903993,34127533,197271583,

%T 1140610030,6594835682,38129175439,220453330240,1274613294981,

%U 7369519453297,42608848364108,246354614128201,1424366047791398

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A305340.

%H R. H. Hardin, <a href="/A305338/b305338.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +16*a(n-2) +14*a(n-3) -13*a(n-4) -281*a(n-5) -670*a(n-6) +274*a(n-7) +1603*a(n-8) +3401*a(n-9) +6046*a(n-10) -7020*a(n-11) -18219*a(n-12) -5957*a(n-13) -16117*a(n-14) +27348*a(n-15) +81265*a(n-16) -30709*a(n-17) +23300*a(n-18) +22633*a(n-19) -368240*a(n-20) -10352*a(n-21) +445538*a(n-22) -32488*a(n-23) +155016*a(n-24) +69530*a(n-25) -551919*a(n-26) -160147*a(n-27) -162563*a(n-28) +449555*a(n-29) +750932*a(n-30) -755415*a(n-31) -37241*a(n-32) +548305*a(n-33) -813787*a(n-34) +196587*a(n-35) +778224*a(n-36) -625744*a(n-37) -247332*a(n-38) +474811*a(n-39) -35777*a(n-40) -137576*a(n-41) -2246*a(n-42) -53419*a(n-43) +57524*a(n-44) +63750*a(n-45) -23784*a(n-46) -22418*a(n-47) -13373*a(n-48) +1509*a(n-49) +7244*a(n-50) +103*a(n-51) +1683*a(n-52) -321*a(n-53) -285*a(n-54) +688*a(n-55) -612*a(n-56) -167*a(n-57) +82*a(n-58) -47*a(n-59) +52*a(n-60) +14*a(n-61) -10*a(n-62) for n>66

%e Some solutions for n=5

%e ..0..1..0..0..0..0. .0..0..0..0..1..0. .0..0..0..0..0..0. .0..1..0..1..0..0

%e ..0..0..0..0..0..0. .1..0..0..0..0..0. .1..0..1..0..0..1. .0..0..0..0..0..0

%e ..0..0..0..1..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0. .1..0..0..0..0..1

%e ..0..0..0..0..0..0. .0..0..1..0..0..1. .0..0..0..0..0..0. .0..0..0..0..0..0

%e ..0..0..1..0..0..0. .0..0..0..0..0..0. .0..0..0..0..1..0. .0..1..0..0..0..0

%Y Cf. A305340.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 30 2018

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Last modified July 12 06:08 EDT 2024. Contains 374237 sequences. (Running on oeis4.)