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A206313 Number of (n+1)X4 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two, and every 2X2 determinant nonzero 1
6831, 258452, 9841886, 375274347, 14309749540, 545678293613, 20808377921080, 793485464714845, 30257994130397426, 1153827383666615864, 43998894149887669205, 1677809124741057851874, 63979878218662738329204 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A206318

LINKS

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

FORMULA

Empirical: a(n) = 31*a(n-1) +658*a(n-2) -14525*a(n-3) -51266*a(n-4) +1742315*a(n-5) +2568*a(n-6) -111724072*a(n-7) +306214837*a(n-8) +3458948497*a(n-9) -19921518115*a(n-10) -14103311618*a(n-11) +342323431454*a(n-12) -661578578970*a(n-13) -1100410213420*a(n-14) +4586308859937*a(n-15) -3284892664330*a(n-16) +12088917508494*a(n-17) -66798656945754*a(n-18) +4863204454404*a(n-19) +668152883487933*a(n-20) -1572909544825801*a(n-21) -104343036353394*a(n-22) +5200756598567925*a(n-23) -5763757360162957*a(n-24) -4460356071410713*a(n-25) +12820640624723848*a(n-26) +10571017688922653*a(n-27) -62236449619191771*a(n-28) +9498904108080154*a(n-29) +176626478662442442*a(n-30) -62348749427938505*a(n-31) -376071258209767792*a(n-32) +8405030630945943*a(n-33) +1182210730211193804*a(n-34) -543383167943355519*a(n-35) -2748832273517235471*a(n-36) +2511253093958231326*a(n-37) +4558534101790015100*a(n-38) -5030513212436441025*a(n-39) -5967019215596460086*a(n-40) +6526107983007343980*a(n-41) +5811203811965935737*a(n-42) -6638734846297707090*a(n-43) -4483028869982072147*a(n-44) +5416632074429772361*a(n-45) +3105155621945654476*a(n-46) -2358211188573072666*a(n-47) -1536238484904416722*a(n-48) +179738288581738082*a(n-49) +360896193919187643*a(n-50) -364600824797434408*a(n-51) -753172801379183144*a(n-52) +434773921978787104*a(n-53) +1374936398210390272*a(n-54) +649802974647708660*a(n-55) -419741593913265856*a(n-56) -751500276618548197*a(n-57) -383939729005838948*a(n-58) +23304274099593335*a(n-59) +198890112685590734*a(n-60) +144463750783801212*a(n-61) +31032683905835412*a(n-62) -37913693638469596*a(n-63) -51623968451360997*a(n-64) -34213660562008801*a(n-65) -11484588516621641*a(n-66) +1143116456421789*a(n-67) +3888906593680780*a(n-68) +2599794891913385*a(n-69) +1047824703702024*a(n-70) +153886579654709*a(n-71) -154662587901795*a(n-72) -161459478479969*a(n-73) -92779080676249*a(n-74) -39172361747793*a(n-75) -12089213690065*a(n-76) -2514036234254*a(n-77) -230505256750*a(n-78) +57500795847*a(n-79) +34151193540*a(n-80) +7629681820*a(n-81) -495077972*a(n-82) -904267877*a(n-83) -280667876*a(n-84) -73170285*a(n-85) -23446143*a(n-86) -5759543*a(n-87) -620246*a(n-88) -83104*a(n-89) -9272*a(n-90) +186*a(n-91) for n>92

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A345602 A345861 A215992 * A250077 A178277 A235899

Adjacent sequences:  A206310 A206311 A206312 * A206314 A206315 A206316

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 06 2012

STATUS

approved

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Last modified December 8 03:17 EST 2021. Contains 349590 sequences. (Running on oeis4.)