

A251928


Number of length n+2 0..1 arrays with the sum of the maximum minus the median of adjacent triples multiplied by some arrangement of +1 equal to zero.


1



5, 10, 18, 34, 68, 136, 268, 528, 1048, 2088, 4160, 8288, 16528, 32992, 65888, 131616, 262976, 525568, 1050560, 2100224, 4199040, 8395904, 16788480, 33571840, 67135744, 134259200, 268499456, 536969728, 1073894400, 2147719168, 4295330816
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OFFSET

1,1


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210


FORMULA

Empirical: a(n) = 4*a(n1)  6*a(n2) + 6*a(n3)  4*a(n4).
Empirical g.f.: x*(5  10*x + 8*x^2  8*x^3) / ((1  2*x)*(1  2*x + 2*x^2  2*x^3)).  Colin Barker, Dec 01 2018


EXAMPLE

Some solutions for n=6:
..1....1....1....1....1....1....0....1....0....0....0....1....0....0....1....0
..1....0....0....0....1....1....0....1....1....1....1....1....0....1....1....1
..0....0....1....1....1....1....1....1....1....1....1....0....1....0....1....0
..0....0....1....0....0....1....0....1....0....0....1....0....0....1....1....1
..0....0....0....0....1....1....1....1....0....1....0....1....0....0....1....0
..0....0....0....1....1....0....0....0....1....1....1....0....1....0....1....0
..0....1....0....0....0....1....1....0....0....0....0....1....1....1....1....0
..1....1....1....1....1....1....0....1....0....1....0....0....1....1....0....1


CROSSREFS

Column 1 of A251935.
Sequence in context: A058555 A226445 A296552 * A153370 A119135 A083287
Adjacent sequences: A251925 A251926 A251927 * A251929 A251930 A251931


KEYWORD

nonn


AUTHOR

R. H. Hardin, Dec 11 2014


STATUS

approved



