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A299131 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 1
1, 42, 149, 1261, 9316, 75592, 648807, 5568411, 48528385, 423758625, 3708681524, 32488998868, 284725618163, 2495882633803, 21880813418029, 191834630497049, 1681904317156982, 14746230774686806, 129289560718813493 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 4 of A299135.
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) +32*a(n-2) -143*a(n-3) -887*a(n-4) +584*a(n-5) +9539*a(n-6) +11390*a(n-7) -45624*a(n-8) -94283*a(n-9) +79505*a(n-10) +237768*a(n-11) -357143*a(n-12) -646855*a(n-13) +2061269*a(n-14) +4087695*a(n-15) -2313416*a(n-16) -8006489*a(n-17) +1140920*a(n-18) +2127893*a(n-19) -20961100*a(n-20) -13259342*a(n-21) +35238300*a(n-22) +14771988*a(n-23) -45704036*a(n-24) -25008199*a(n-25) -18395747*a(n-26) +15237002*a(n-27) +4571949*a(n-28) +1400347*a(n-29) +95979339*a(n-30) -11078630*a(n-31) -7401783*a(n-32) -18283775*a(n-33) -68791478*a(n-34) +51991625*a(n-35) +45461324*a(n-36) -7931729*a(n-37) -17255775*a(n-38) -16853992*a(n-39) -6297911*a(n-40) +3467317*a(n-41) +2528188*a(n-42) -149388*a(n-43) +276392*a(n-44) -339084*a(n-45) -92248*a(n-46) +74064*a(n-47) -16048*a(n-48) +1248*a(n-49) for n>51
EXAMPLE
Some solutions for n=5
..0..0..0..0. .0..1..1..1. .0..1..0..0. .0..0..0..1. .0..1..1..0
..1..0..1..0. .1..1..0..1. .1..1..0..0. .0..1..0..0. .1..1..0..0
..0..0..1..1. .0..0..0..0. .0..1..1..1. .1..1..1..0. .1..1..0..1
..0..1..1..0. .0..0..1..0. .1..1..0..1. .0..1..1..1. .1..1..0..0
..0..0..1..1. .0..1..1..1. .0..1..1..1. .1..1..1..1. .1..1..0..0
CROSSREFS
Cf. A299135.
Sequence in context: A262424 A230932 A224954 * A158479 A188126 A189500
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 03 2018
STATUS
approved

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Last modified December 8 09:45 EST 2023. Contains 367663 sequences. (Running on oeis4.)