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A235237 Number of (n+1) X (6+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1
52468, 113940, 241456, 580668, 1355796, 3512000, 8787924, 24042932, 63316120, 180522036, 494486652, 1455378584, 4114134172, 12414572220, 36016421984, 110870253196, 328752504052, 1028636278080, 3107701982004, 9857358757940 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A235239.
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) +69*a(n-2) -574*a(n-3) -1978*a(n-4) +21370*a(n-5) +27951*a(n-6) -478485*a(n-7) -113003*a(n-8) +7195152*a(n-9) -2958344*a(n-10) -76861940*a(n-11) +65204416*a(n-12) +601876824*a(n-13) -702665742*a(n-14) -3516184990*a(n-15) +4973786477*a(n-16) +15464027179*a(n-17) -24964585223*a(n-18) -51381565162*a(n-19) +91429360722*a(n-20) +129074199158*a(n-21) -246783610545*a(n-22) -245370073973*a(n-23) +491176690303*a(n-24) +354658110454*a(n-25) -717262274054*a(n-26) -393919013804*a(n-27) +761914551864*a(n-28) +340116859488*a(n-29) -581525075904*a(n-30) -227924908368*a(n-31) +312863061744*a(n-32) +115489716768*a(n-33) -114941096928*a(n-34) -42030498240*a(n-35) +27265994496*a(n-36) +10170800640*a(n-37) -3740567040*a(n-38) -1442479104*a(n-39) +223948800*a(n-40) +89579520*a(n-41).
EXAMPLE
Some solutions for n=2:
1 4 2 5 3 5 1 4 6 3 6 2 5 4 3 2 5 1 4 1 4
4 1 5 2 6 2 4 5 1 4 1 3 0 5 0 5 2 4 1 4 1
0 3 1 4 2 4 0 3 5 2 5 1 4 3 2 1 4 0 3 0 3
CROSSREFS
Sequence in context: A346338 A015359 A263123 * A237138 A201268 A200658
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 05 2014
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)