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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 1
1776, 20616, 238800, 2805732, 32938264, 387379488, 4554084512, 53556471248, 629746787804, 7405534639216, 87082117502584, 1024028786411432, 12041751120851748, 141602350814970496, 1665134904378835048 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)