A233953 Number of (n+1)X(3+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal

1776, 20616, 238800, 2805732, 32938264, 387379488, 4554084512, 53556471248, 629746787804, 7405534639216, 87082117502584, 1024028786411432, 12041751120851748, 141602350814970496, 1665134904378835048

Offset

1,1

Comments

Column 3 of A233958

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +206*a(n-2) -1974*a(n-3) -17658*a(n-4) +172006*a(n-5) +823218*a(n-6) -8755950*a(n-7) -22447964*a(n-8) +290331225*a(n-9) +335340549*a(n-10) -6620509403*a(n-11) -1129180909*a(n-12) +106892209217*a(n-13) -61125364955*a(n-14) -1239668100020*a(n-15) +1464086615509*a(n-16) +10358200949139*a(n-17) -18063939217024*a(n-18) -61734170536425*a(n-19) +146014464495890*a(n-20) +253673952282616*a(n-21) -825629122879556*a(n-22) -647362175538384*a(n-23) +3342376565187184*a(n-24) +566558281284436*a(n-25) -9724628758424336*a(n-26) +2629158173196324*a(n-27) +20109448606399920*a(n-28) -12570237040208256*a(n-29) -28672753664086816*a(n-30) +27753562260435776*a(n-31) +26303535277229760*a(n-32) -37392616983493824*a(n-33) -12637279427092736*a(n-34) +31789181667627520*a(n-35) -448199782440960*a(n-36) -16359189473893376*a(n-37) +4114097577508864*a(n-38) +4462518392578048*a(n-39) -2023269312528384*a(n-40) -396341235515392*a(n-41) +337927810580480*a(n-42) -37006957084672*a(n-43) -5076173193216*a(n-44) +713606299648*a(n-45)

Example

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

Crossrefs

Sequence in context: A143995 A205938 A238307 * A282404 A167282 A237906

Adjacent sequences: A233950 A233951 A233952 * A233954 A233955 A233956

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved