A265924 Number of nX4 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique.

340, 9016, 72772, 542940, 4044156, 30029860, 225444912, 1691502456, 12779302796, 96726712256, 733594037948, 5585468980116, 42451575314372, 324411240385960, 2468510420444928, 18903703259295268, 143946266428000640

Offset

1,1

Comments

Column 4 of A265928.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) +74*a(n-2) -2388*a(n-3) +3439*a(n-4) +135306*a(n-5) -522734*a(n-6) -3439014*a(n-7) +19923934*a(n-8) +36082640*a(n-9) -333465409*a(n-10) -59196434*a(n-11) +2436517719*a(n-12) +88992424*a(n-13) -9296733480*a(n-14) -4787400052*a(n-15) +15068783472*a(n-16) +20054756552*a(n-17) +3031868640*a(n-18) -14763124864*a(n-19) -19831398480*a(n-20) -12928318048*a(n-21) -3167850512*a(n-22) +1557170880*a(n-23) +1561396480*a(n-24) +555187200*a(n-25) +96018432*a(n-26) +6553600*a(n-27) -65536*a(n-28) for n>32

Example

Some solutions for n=3
..0..0..4..4....4..0..1..3....4..2..1..3....1..3..3..2....0..0..1..3
..1..1..0..3....3..4..4..2....2..1..3..4....2..0..0..1....3..1..4..0
..3..0..1..4....2..1..3..3....4..0..0..1....4..4..3..0....2..4..3..1

Crossrefs

Cf. A265928.

Sequence in context: A232514 A187383 A265969 * A239159 A222927 A374027

Adjacent sequences: A265921 A265922 A265923 * A265925 A265926 A265927

Keyword

nonn

Author

R. H. Hardin, Dec 18 2015

Status

approved