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A252172 Number of length n+2 0..3 arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero 1
4, 132, 264, 1872, 6820, 31420, 123826, 515268, 2058802, 8332796, 33350162, 133891940, 535789038, 2145632584, 8584207782, 34349419412, 137408677592, 549699224224, 2198863697876, 8795786194236, 35183533311476, 140735839290104 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A252177

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..129

FORMULA

Empirical: a(n) = 13*a(n-1) -60*a(n-2) +76*a(n-3) +310*a(n-4) -1328*a(n-5) +1601*a(n-6) +1043*a(n-7) -4739*a(n-8) +6283*a(n-9) -16535*a(n-10) +47913*a(n-11) -56399*a(n-12) -41587*a(n-13) +227738*a(n-14) -387264*a(n-15) +541852*a(n-16) -755788*a(n-17) +635056*a(n-18) +469432*a(n-19) -2549608*a(n-20) +5018568*a(n-21) -7394016*a(n-22) +8952448*a(n-23) -8287952*a(n-24) +4052560*a(n-25) +3641808*a(n-26) -12878128*a(n-27) +21320784*a(n-28) -27162288*a(n-29) +29035680*a(n-30) -26480832*a(n-31) +20563584*a(n-32) -13528064*a(n-33) +7524864*a(n-34) -3517952*a(n-35) +1345536*a(n-36) -396288*a(n-37) +79872*a(n-38) -8192*a(n-39) for n>40

EXAMPLE

Some solutions for n=6

..3....2....1....2....1....3....1....2....0....1....0....0....2....0....3....0

..2....2....1....3....1....2....3....0....1....1....3....3....2....3....2....3

..3....3....0....1....0....3....0....0....2....0....2....3....2....3....3....0

..0....2....1....1....1....1....3....0....1....0....2....2....1....1....2....0

..1....1....1....0....0....1....0....3....2....0....3....3....2....3....1....3

..0....0....3....0....3....1....0....1....3....0....1....0....1....1....0....1

..3....1....3....3....3....0....2....3....2....2....1....0....3....0....3....2

..3....0....2....1....0....2....0....1....2....2....2....3....0....2....1....0

CROSSREFS

Sequence in context: A194536 A064227 A204079 * A192837 A204077 A194537

Adjacent sequences:  A252169 A252170 A252171 * A252173 A252174 A252175

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 15 2014

STATUS

approved

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Last modified January 20 17:47 EST 2018. Contains 297961 sequences.