A234782 Number of (n+1)X(4+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases

19652, 1269036, 83120724, 5465582060, 359793857812, 23692759265012, 1560344155530604, 102763262525972764, 6767981316129837140, 445739932002608156372, 29356499455959182741884, 1933423944068169976159436

Offset

1,1

Comments

Column 4 of A234786

Links

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

Formula

Empirical: a(n) = 115*a(n-1) -4157*a(n-2) +69117*a(n-3) -595705*a(n-4) +2449306*a(n-5) -240335*a(n-6) -43350087*a(n-7) +178528425*a(n-8) -183199822*a(n-9) -751284432*a(n-10) +2871335435*a(n-11) -3549608757*a(n-12) -650892687*a(n-13) +7285361378*a(n-14) -9372087568*a(n-15) +5616780205*a(n-16) -1330498112*a(n-17) -261001088*a(n-18) +232979629*a(n-19) -45081325*a(n-20) -1230938*a(n-21) +1537784*a(n-22) -190656*a(n-23) +8208*a(n-24) -108*a(n-25)

Example

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

Crossrefs

Sequence in context: A118924 A065304 A178782 * A206133 A321825 A186559

Adjacent sequences: A234779 A234780 A234781 * A234783 A234784 A234785

Keyword

nonn

Author

R. H. Hardin, Dec 30 2013

Status

approved