A237233 Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

100008, 401520, 926086, 1919288, 5299502, 13078228, 42143930, 92484308, 270710424, 638608676, 1940008986, 4500620876, 13454873260, 31731133484, 95618929690, 223781988876, 667596360496, 1582932137332, 4750121115990

Offset

1,1

Comments

Column 7 of A237234

Links

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

Formula

Empirical: a(n) = 5*a(n-2) +26*a(n-4) -26*a(n-6) -27*a(n-8) -1747*a(n-10) -272*a(n-12) -37717*a(n-14) -62475*a(n-16) +342630*a(n-18) +839939*a(n-20) +4400241*a(n-22) +2441946*a(n-24) -9127258*a(n-26) -22859130*a(n-28) -161997232*a(n-30) -301797384*a(n-32) -438054576*a(n-34) +1413159680*a(n-36) +3841915520*a(n-38) -400228160*a(n-40) -851565568*a(n-42) -1236199808*a(n-44) -2446382592*a(n-46) +1411232256*a(n-48) +27648000*a(n-50) +944087040*a(n-52) +199065600*a(n-54) -1658880000*a(n-56) for n>63

Example

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

Crossrefs

Sequence in context: A210761 A165297 A249854 * A182040 A120216 A119902

Adjacent sequences: A237230 A237231 A237232 * A237234 A237235 A237236

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved