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A205174 Number of (n+1)X2 0..3 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards 2
256, 2504, 23244, 177050, 1284356, 8458978, 53679123, 323510768, 1900038196, 10843837860, 60860178932, 336133010594, 1837617407194, 9957647836284, 53642511855713, 287612228679958, 1537162267470632, 8195476523676532 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A205181
LINKS
FORMULA
Empirical: a(n) = 17*a(n-1) -53*a(n-2) -655*a(n-3) +4562*a(n-4) +6709*a(n-5) -127272*a(n-6) +111162*a(n-7) +1984847*a(n-8) -4432078*a(n-9) -19614866*a(n-10) +70528314*a(n-11) +122901766*a(n-12) -720409989*a(n-13) -381215439*a(n-14) +5295621503*a(n-15) -1121628885*a(n-16) -29392999736*a(n-17) +22408016323*a(n-18) +125911967739*a(n-19) -157369212859*a(n-20) -418344962209*a(n-21) +740657793018*a(n-22) +1062934045556*a(n-23) -2618594808240*a(n-24) -1958599550312*a(n-25) +7247348301840*a(n-26) +2133447814984*a(n-27) -15976413972292*a(n-28) +639953423093*a(n-29) +28203849869509*a(n-30) -8781079503241*a(n-31) -39740754037596*a(n-32) +22057856070051*a(n-33) +44137228172788*a(n-34) -35483156818970*a(n-35) -37612044765869*a(n-36) +41655346578108*a(n-37) +23191176146296*a(n-38) -36873010514132*a(n-39) -8722037640493*a(n-40) +24636787910234*a(n-41) +222486930832*a(n-42) -12199002018884*a(n-43) +2053215875204*a(n-44) +4303218493184*a(n-45) -1390170660176*a(n-46) -1002256274208*a(n-47) +488995093328*a(n-48) +129245368224*a(n-49) -98457931904*a(n-50) -3610721088*a(n-51) +10262033088*a(n-52) -950697216*a(n-53) -387507456*a(n-54) +60963840*a(n-55)
EXAMPLE
Some solutions for n=4
..3..2....1..0....0..2....3..3....1..2....2..0....1..0....0..3....1..0....3..3
..0..1....0..3....2..1....0..1....3..0....2..2....0..0....2..2....0..3....0..1
..3..2....1..1....0..3....3..2....1..2....1..1....0..3....1..2....2..3....3..2
..1..3....1..2....2..2....1..1....2..3....1..3....0..1....2..3....1..2....3..1
..3..2....3..3....0..3....2..3....1..2....2..2....1..2....2..1....2..3....1..3
CROSSREFS
Sequence in context: A251114 A205181 A205277 * A188842 A188705 A236601
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 22 2012
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)