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A300501 Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
3, 2, 4, 7, 6, 17, 34, 57, 80, 164, 302, 526, 885, 1647, 2996, 5296, 9259, 16753, 30075, 53468, 94738, 169873, 303898, 541631, 964444, 1724067, 3079837, 5493915, 9797538, 17495715, 31235953, 55738172, 99453077, 177534256, 316897514, 565552854 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A300506.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-2) +2*a(n-3) -7*a(n-4) -8*a(n-5) -5*a(n-6) +10*a(n-7) +34*a(n-8) +10*a(n-9) -54*a(n-10) -52*a(n-11) +26*a(n-12) +72*a(n-13) +26*a(n-14) -40*a(n-15) -49*a(n-16) -16*a(n-17) +21*a(n-18) +36*a(n-19) +14*a(n-20) -12*a(n-21) -10*a(n-22) -4*a(n-23) -a(n-24) +2*a(n-25) +a(n-26) for n>31
EXAMPLE
All solutions for n=5
..0..1..0. .0..0..0. .0..1..0. .0..1..0. .0..0..1. .0..0..0
..0..0..1. .1..0..0. .0..0..1. .0..0..1. .1..1..0. .1..0..0
..0..0..0. .1..0..1. .0..1..0. .0..0..1. .0..1..1. .0..1..0
..1..0..0. .0..0..1. .0..0..1. .1..0..0. .0..1..1. .1..0..0
..0..1..0. .0..0..0. .0..0..0. .0..1..1. .1..0..1. .0..1..0
CROSSREFS
Cf. A300506.
Sequence in context: A170950 A276954 A276944 * A356957 A158441 A349368
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 07 2018
STATUS
approved

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Last modified February 26 21:28 EST 2024. Contains 370352 sequences. (Running on oeis4.)