A234147 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal.

1264, 13936, 158812, 1920340, 23565328, 292681764, 3649331396, 45615539600, 570694277160, 7143825942232, 89442049322768, 1119974200114072, 14024590625718520, 175625103897490080, 2199303275432206652

Offset

1,1

Comments

Column 2 of A234152.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +188*a(n-2) -1705*a(n-3) -13231*a(n-4) +115068*a(n-5) +493976*a(n-6) -4229448*a(n-7) -11190946*a(n-8) +96334439*a(n-9) +164224925*a(n-10) -1453766839*a(n-11) -1614673985*a(n-12) +15099553644*a(n-13) +10806854528*a(n-14) -110319519409*a(n-15) -49482794946*a(n-16) +573293794815*a(n-17) +155510560962*a(n-18) -2125916423322*a(n-19) -344648421788*a(n-20) +5607869207405*a(n-21) +602950452380*a(n-22) -10426809489560*a(n-23) -1017179390188*a(n-24) +13440589196562*a(n-25) +1660271297890*a(n-26) -11680287015490*a(n-27) -2067440715994*a(n-28) +6524300789888*a(n-29) +1631686761052*a(n-30) -2149016060048*a(n-31) -727542691768*a(n-32) +347865584016*a(n-33) +160185863728*a(n-34) -13689852000*a(n-35) -13226096640*a(n-36) -1457602560*a(n-37)

Example

Some solutions for n=3
..5..2..0....2..5..3....3..5..3....2..0..3....3..5..3....0..1..3....2..0..2
..3..5..3....0..2..0....0..4..0....5..4..2....5..2..5....5..3..0....3..5..4
..0..3..0....1..5..3....3..5..3....3..0..3....2..0..2....2..0..2....5..2..0
..4..5..1....0..3..0....0..2..0....5..4..2....4..5..4....5..1..5....2..4..5

Crossrefs

Cf. A234152.

Sequence in context: A234676 A237327 A233887 * A252562 A364610 A038652

Adjacent sequences: A234144 A234145 A234146 * A234148 A234149 A234150

Keyword

nonn

Author

R. H. Hardin, Dec 20 2013

Status

approved