A234202 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 15.

440, 1732, 6644, 28016, 115680, 509536, 2169836, 9814536, 42498000, 195663360, 856196216, 3992938424, 17600721348, 82886620036, 367331112116, 1742966235544, 7755822204860, 37017397272612, 165231545698596, 792217800373064

Offset

1,1

Comments

Column 2 of A234208.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +35*a(n-2) -651*a(n-3) +419*a(n-4) +16705*a(n-5) -37770*a(n-6) -216562*a(n-7) +772034*a(n-8) +1449450*a(n-9) -8226531*a(n-10) -3432396*a(n-11) +53203704*a(n-12) -19299470*a(n-13) -221565837*a(n-14) +197415839*a(n-15) +605551158*a(n-16) -820429189*a(n-17) -1065993213*a(n-18) +2055641766*a(n-19) +1094316298*a(n-20) -3372056546*a(n-21) -351098112*a(n-22) +3691267180*a(n-23) -636122040*a(n-24) -2662114168*a(n-25) +998183888*a(n-26) +1207919856*a(n-27) -667852864*a(n-28) -308559296*a(n-29) +239536384*a(n-30) +30592768*a(n-31) -43737088*a(n-32) +2252800*a(n-33) +3080192*a(n-34) -458752*a(n-35).

Example

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

Crossrefs

Cf. A234208.

Sequence in context: A158319 A250879 A247722 * A061626 A187239 A272716

Adjacent sequences: A234199 A234200 A234201 * A234203 A234204 A234205

Keyword

nonn

Author

R. H. Hardin, Dec 21 2013

Status

approved