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A302633
Number of nX6 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1
13, 65, 47, 149, 691, 2262, 8981, 35772, 135125, 522265, 2030558, 7817366, 30184397, 116738915, 450741840, 1740832183, 6725944705, 25979920451, 100351084472, 387650634193, 1497420252119, 5784201010250, 22343397443993, 86308461484188
OFFSET
1,1
COMMENTS
Column 6 of A302635.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-2) +39*a(n-3) +50*a(n-4) -2*a(n-5) -393*a(n-6) -694*a(n-7) -455*a(n-8) +1693*a(n-9) +3775*a(n-10) +3444*a(n-11) -2775*a(n-12) -9804*a(n-13) -11520*a(n-14) -2477*a(n-15) +11606*a(n-16) +20666*a(n-17) +16150*a(n-18) -984*a(n-19) -19093*a(n-20) -24794*a(n-21) -14731*a(n-22) +3238*a(n-23) +15647*a(n-24) +18561*a(n-25) +12040*a(n-26) +2792*a(n-27) -5734*a(n-28) -9936*a(n-29) -10264*a(n-30) -7542*a(n-31) -2505*a(n-32) +3231*a(n-33) +6835*a(n-34) +6669*a(n-35) +3407*a(n-36) -82*a(n-37) -2685*a(n-38) -3140*a(n-39) -2156*a(n-40) -311*a(n-41) +848*a(n-42) +1060*a(n-43) +623*a(n-44) +130*a(n-45) -148*a(n-46) -209*a(n-47) -116*a(n-48) -18*a(n-49) +34*a(n-50) +24*a(n-51) +6*a(n-52) -2*a(n-53) -a(n-54) for n>65.
EXAMPLE
Some solutions for n=5
..0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..1..0..0..1. .0..1..0..1..0..1
..0..1..0..1..0..0. .0..1..0..1..0..0. .1..0..1..0..1..0. .0..0..0..1..0..1
..0..1..1..1..0..1. .0..1..0..1..0..1. .1..0..1..0..1..0. .0..1..0..1..0..0
..0..1..0..1..0..1. .0..1..0..1..1..1. .1..1..1..0..0..0. .0..1..0..1..0..1
..0..1..0..1..0..1. .0..1..0..1..0..1. .1..0..1..0..1..0. .0..0..1..1..0..1
CROSSREFS
Cf. A302635.
Sequence in context: A220564 A264513 A302161 * A302425 A303195 A283169
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 10 2018
STATUS
approved