STATUS
editing
approved
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Revision History for A281077
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Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
(history; published version)
(history; published version)
LINKS
R. H. Hardin, <a href="/A281077/b281077.txt">Table of n, a(n) for n = 1..210</a>
NAME
allocated for R. H. Hardin
Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
DATA
0, 92, 894, 3330, 10954, 32244, 89147, 236332, 609693, 1542674, 3849427, 9505656, 23280649, 56635936, 137005695, 329823586, 790661565, 1888351302, 4495083545, 10668575466, 25253243659, 59632117024, 140504745763, 330394273406
OFFSET
1,2
COMMENTS
Column 5 of A281080.
FORMULA
Empirical: a(n) = 9*a(n-1) -32*a(n-2) +56*a(n-3) -48*a(n-4) +16*a(n-5) +4*a(n-6) -20*a(n-7) +26*a(n-8) +18*a(n-9) -66*a(n-10) +46*a(n-11) -6*a(n-12) +6*a(n-13) -4*a(n-14) -12*a(n-15) -5*a(n-16) +25*a(n-17) -6*a(n-18) -10*a(n-19) -3*a(n-20) +11*a(n-21) -2*a(n-22) -2*a(n-23) -a(n-24) +a(n-25) for n>32
EXAMPLE
Some solutions for n=4
..0..0..1..1..1. .0..0..1..1..0. .0..0..1..1..0. .0..1..0..0..1
..1..1..0..0..1. .0..1..0..1..1. .1..1..0..1..0. .1..0..1..0..1
..0..0..1..0..0. .1..0..1..0..1. .1..0..1..0..1. .0..1..1..0..1
..1..0..1..1..0. .1..1..0..0..1. .0..1..0..1..0. .0..0..1..0..0
CROSSREFS
Cf. A281080.
KEYWORD
allocated
nonn
AUTHOR
R. H. Hardin, Jan 14 2017
STATUS
approved
editing
NAME
allocated for R. H. Hardin
KEYWORD
allocated
STATUS
approved