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A298926 Number of nX4 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
0, 2, 4, 11, 23, 72, 201, 597, 1717, 5183, 15479, 46260, 138928, 417427, 1255369, 3777004, 11372190, 34247960, 103164581, 310821235, 936579808, 2822417917, 8506019597, 25636254701, 77267796877, 232891865309, 701970354408 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298930.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 6*a(n-1) -10*a(n-2) +7*a(n-3) -23*a(n-4) +31*a(n-5) -15*a(n-6) +104*a(n-7) -147*a(n-8) +182*a(n-9) -366*a(n-10) +376*a(n-11) -685*a(n-12) +689*a(n-13) -613*a(n-14) +1143*a(n-15) -710*a(n-16) -129*a(n-17) -82*a(n-18) -584*a(n-19) +5620*a(n-20) -1356*a(n-21) +6298*a(n-22) -15575*a(n-23) +6568*a(n-24) -15985*a(n-25) +6661*a(n-26) -23488*a(n-27) +19556*a(n-28) +16109*a(n-29) +18333*a(n-30) +8059*a(n-31) -12197*a(n-32) +16533*a(n-33) -27875*a(n-34) -8576*a(n-35) -28209*a(n-36) +16299*a(n-37) +26487*a(n-38) +4040*a(n-39) -22226*a(n-40) +1134*a(n-41) -9128*a(n-42) -7294*a(n-43) +16692*a(n-44) +6504*a(n-45) +1137*a(n-46) -5253*a(n-47) +2127*a(n-48) -324*a(n-49) +1885*a(n-50) -1689*a(n-51) -59*a(n-52) -235*a(n-53) +346*a(n-54) -86*a(n-55) +12*a(n-56) -46*a(n-57) +24*a(n-58) +8*a(n-59) -4*a(n-60) for n>61

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A298930.

Sequence in context: A006452 A104430 A298255 * A292157 A256801 A103669

Adjacent sequences:  A298923 A298924 A298925 * A298927 A298928 A298929

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 29 2018

STATUS

approved

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Last modified July 29 02:27 EDT 2021. Contains 346340 sequences. (Running on oeis4.)