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A300142 Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
1, 16, 18, 246, 1043, 5368, 37739, 219689, 1245482, 7870135, 47636355, 282097766, 1725080678, 10469667595, 62941560035, 381690476085, 2313274299430, 13972436055633, 84576042864758, 512096642082119, 3097315708720487 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 4 of A300146.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +10*a(n-2) +90*a(n-3) -294*a(n-4) -1000*a(n-5) -1788*a(n-6) +8408*a(n-7) +19306*a(n-8) +13989*a(n-9) -82811*a(n-10) -186056*a(n-11) -11348*a(n-12) +460563*a(n-13) +742483*a(n-14) -281458*a(n-15) -1785439*a(n-16) -836008*a(n-17) +2523733*a(n-18) +1976018*a(n-19) -2319096*a(n-20) -2899510*a(n-21) +899133*a(n-22) +4429039*a(n-23) -1751184*a(n-24) -2174228*a(n-25) +1243411*a(n-26) -1154919*a(n-27) +1558675*a(n-28) +108867*a(n-29) -1129196*a(n-30) +676303*a(n-31) +410519*a(n-32) +172464*a(n-33) -226281*a(n-34) -319702*a(n-35) +87836*a(n-36) +54124*a(n-37) -16318*a(n-38) -2084*a(n-39) +1232*a(n-40) for n>42
EXAMPLE
Some solutions for n=5
..0..1..0..0. .0..0..0..1. .0..1..1..0. .0..0..1..1. .0..1..1..1
..1..0..0..0. .0..0..0..1. .0..1..1..0. .1..1..1..1. .0..1..1..1
..1..1..1..0. .0..0..1..1. .1..1..0..0. .0..0..0..0. .1..1..1..1
..1..0..0..0. .1..0..0..1. .1..1..1..0. .0..0..1..1. .1..1..1..0
..0..1..0..0. .1..0..0..1. .1..1..1..0. .1..1..1..1. .1..1..0..1
CROSSREFS
Cf. A300146.
Sequence in context: A223588 A358423 A183401 * A070574 A249612 A260560
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 26 2018
STATUS
approved

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Last modified June 15 16:19 EDT 2024. Contains 373407 sequences. (Running on oeis4.)