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A204871 Number of (n+1)X4 0..3 arrays with the permanents of all 2X2 subblocks equal and nonzero 1
1467, 10397, 53311, 337179, 1912223, 11644559, 67916249, 409180861, 2413209565, 14501405793, 86035788685, 516947561499, 3079526583523, 18516168228687, 110656070555755, 665978586572697, 3990635143007677, 24042793466719409 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A204876

LINKS

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

FORMULA

Empirical: a(n) = 20*a(n-1) +128*a(n-2) -4965*a(n-3) +2966*a(n-4) +576533*a(n-5) -1902381*a(n-6) -41587573*a(n-7) +210704865*a(n-8) +2084031432*a(n-9) -13855164473*a(n-10) -76654308941*a(n-11) +646333727907*a(n-12) +2120166705252*a(n-13) -23035122357659*a(n-14) -43878657485414*a(n-15) +653696815886192*a(n-16) +638238110251978*a(n-17) -15169200631880454*a(n-18) -4628209300092372*a(n-19) +293216087844440784*a(n-20) -60351812924244891*a(n-21) -4785428994906036515*a(n-22) +2926149178707648484*a(n-23) +66614816891797788690*a(n-24) -63000069463718448725*a(n-25) -797069040256513994867*a(n-26) +981265847986819178025*a(n-27) +8246206003837276793023*a(n-28) -12233546898190745739952*a(n-29) -74090011570897736356357*a(n-30) +127095319143888590913681*a(n-31) +579932065031616597306912*a(n-32) -1123470392865323187883499*a(n-33) -3962502538101927496504161*a(n-34) +8555293931632655299159149*a(n-35) +23653894974990060882775798*a(n-36) -56575544177358440248864439*a(n-37) -123310196220510459912204308*a(n-38) +326652902283228611253588779*a(n-39) +560297215196315177031169289*a(n-40) -1652725691318293781393083959*a(n-41) -2210090953367161057724489382*a(n-42) +7345504172747837088489711108*a(n-43) +7512808013087687909172261018*a(n-44) -28719384571635516774443731486*a(n-45) -21720953671710756814390089094*a(n-46) +98839533866173775640877057189*a(n-47) +52064447995647887090950936457*a(n-48) -299388831695932633617352082365*a(n-49) -97557666053096999577482377171*a(n-50) +797491584024290014946294640048*a(n-51) +117415595458841849383412964520*a(n-52) -1865167274835950396266989744881*a(n-53) +26704711796419320326798740906*a(n-54) +3820972411913418326863036734510*a(n-55) -624036666308938482445610539924*a(n-56) -6833540213719468253216386728994*a(n-57) +2077966942891302827239572329388*a(n-58) +10621141228533041649443689442060*a(n-59) -4686199169997377501555868007664*a(n-60) -14259460739451019140326890213320*a(n-61) +8275321180758061572275880711296*a(n-62) +16398654294316277121378784552120*a(n-63) -11961491427808113137173205788624*a(n-64) -15962383760372612773081555157040*a(n-65) +14390367994711234899370175030208*a(n-66) +12913070367158118466245029625568*a(n-67) -14484620043853684090191368014784*a(n-68) -8413133648980576134970985629888*a(n-69) +12183289472568447953138140623616*a(n-70) +4132820407379984532148390855936*a(n-71) -8512241471195826082261399775744*a(n-72) -1243715027507924672965713663488*a(n-73) +4887693473692145814223504256000*a(n-74) -76841448833086017856077182464*a(n-75) -2268462831464394940688396350464*a(n-76) +362159681252252377166187604992*a(n-77) +829304863916097512114852917248*a(n-78) -248515465096187240962523461632*a(n-79) -228647533716410975789370961920*a(n-80) +104845302217263090745217945600*a(n-81) +43528244186136799178475225088*a(n-82) -30433787052587102111098208256*a(n-83) -4327124972331351135834308608*a(n-84) +6050957958809732449020674048*a(n-85) -237689774900419867019313152*a(n-86) -765673436419075273504849920*a(n-87) +143491735455246837052080128*a(n-88) +49190722221238755278192640*a(n-89) -18589175303334599331938304*a(n-90) +32587541239166801018880*a(n-91) +832066234912881386717184*a(n-92) -139821966578117737709568*a(n-93) +7391629767959012966400*a(n-94)

EXAMPLE

Some solutions for n=4

..3..0..3..0....1..2..0..2....2..3..0..3....2..2..1..2....1..0..1..2

..2..1..3..1....0..2..1..2....0..3..2..3....3..0..3..0....2..2..0..2

..3..0..3..0....1..2..0..2....2..3..0..3....3..2..0..2....0..1..1..3

..3..1..2..1....0..2..1..3....0..3..2..1....0..2..3..2....2..2..0..2

..3..0..3..0....1..2..0..2....2..3..0..3....3..2..0..2....0..1..1..2

CROSSREFS

Sequence in context: A207220 A045012 A215849 * A252578 A083526 A068753

Adjacent sequences:  A204868 A204869 A204870 * A204872 A204873 A204874

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 20 2012

STATUS

approved

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Last modified October 17 21:17 EDT 2021. Contains 348065 sequences. (Running on oeis4.)