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A209711 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having distinct clockwise edge differences 1
1241, 40600, 1277340, 40731729, 1293734407, 41170011836, 1308905451923, 41634764453267, 1323986099952192, 42109275322473077, 1339166789310809335, 42590485464466221295, 1354499017164946512850, 43077595330733889824289 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A209716

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) +1008*a(n-2) -7876*a(n-3) -328904*a(n-4) +1926537*a(n-5) +52684864*a(n-6) -273951748*a(n-7) -4866393539*a(n-8) +24240653273*a(n-9) +284467521073*a(n-10) -1401913368926*a(n-11) -11199860935130*a(n-12) +55383623152305*a(n-13) +310221810205502*a(n-14) -1550263153851120*a(n-15) -6235493002893665*a(n-16) +31634306714134207*a(n-17) +92998581142818874*a(n-18) -480833347610958673*a(n-19) -1045915789998724699*a(n-20) +5532194062321947358*a(n-21) +8975769923693909839*a(n-22) -48756799709225176849*a(n-23) -59299615298869844599*a(n-24) +332041426928348290121*a(n-25) +303700687565429488003*a(n-26) -1758256324787498237829*a(n-27) -1212811908997938780012*a(n-28) +7270465412741619864800*a(n-29) +3797566692114290775489*a(n-30) -23537814548092748856931*a(n-31) -9379511582307506472416*a(n-32) +59726661084682197089538*a(n-33) +18401973290976709236198*a(n-34) -118737454342588779056334*a(n-35) -28914958687246461124391*a(n-36) +184561198236942732186820*a(n-37) +36699265124914024312999*a(n-38) -223429523113044656251384*a(n-39) -37861805098615603112860*a(n-40) +209387912188279839779389*a(n-41) +31751887956162117388848*a(n-42) -150583340090115952826545*a(n-43) -21431798119336812426970*a(n-44) +82105995000110413699734*a(n-45) +11401867924374467330034*a(n-46) -33394113408712074250948*a(n-47) -4638404024514496142694*a(n-48) +9913173513982954582346*a(n-49) +1389760315203109342656*a(n-50) -2086440149254353119856*a(n-51) -293279980685597445408*a(n-52) +299468489710238488568*a(n-53) +41250131799294016000*a(n-54) -27806351608888814224*a(n-55) -3591128372719351552*a(n-56) +1556040144706074432*a(n-57) +173746695509329664*a(n-58) -48068935504144192*a(n-59) -3984150632877312*a(n-60) +742241025193984*a(n-61) +34721251272704*a(n-62) -4259930669056*a(n-63) -57036898304*a(n-64)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A010081 A028514 A099178 * A228964 A047628 A181073

Adjacent sequences:  A209708 A209709 A209710 * A209712 A209713 A209714

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 11 2012

STATUS

approved

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Last modified June 15 16:13 EDT 2019. Contains 324142 sequences. (Running on oeis4.)