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A265929 Number of 1 X n 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique. 2
5, 25, 92, 340, 1252, 4616, 17012, 62696, 231044, 851496, 3138100, 11564952, 42620580, 157071768, 578865076, 2133318088, 7862009732, 28974227016, 106780086132, 393521606584, 1450263256356, 5344722135352, 19697152196980 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 1 of A265928.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) - 2*a(n-2) + 10*a(n-3) + 27*a(n-4) - 13*a(n-5) + 28*a(n-6) - 20*a(n-7) - 96*a(n-8) for n>9.

Empirical g.f.: x*(1 + x)*(5 + 5*x + 22*x^2 + 42*x^3 - 11*x^4 + 21*x^5 - 52*x^6 - 160*x^7) / (1 - 3*x + 2*x^2 - 10*x^3 - 27*x^4 + 13*x^5 - 28*x^6 + 20*x^7 + 96*x^8). - Colin Barker, Mar 21 2018

EXAMPLE

Some solutions for n=4:

..1..3..0..1....0..3..3..1....2..1..3..0....0..1..4..0....1..2..2..0

CROSSREFS

Cf. A265928.

Sequence in context: A223840 A083090 A224148 * A297452 A147177 A057255

Adjacent sequences:  A265926 A265927 A265928 * A265930 A265931 A265932

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 18 2015

STATUS

approved

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Last modified January 19 22:12 EST 2022. Contains 350466 sequences. (Running on oeis4.)