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A210139 Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order 1
1018, 78063, 5451164, 363492269, 23560950847, 1499212226898, 94235638705314, 5875282322245525, 364320691078093943, 22509511256212363930, 1387392548192168659286, 85375526022560757590011 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A210143

LINKS

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

FORMULA

Empirical: a(n) = 235*a(n-1) -23547*a(n-2) +1326017*a(n-3) -46312598*a(n-4) +1033233394*a(n-5) -14208694709*a(n-6) +96208712962*a(n-7) +267300062626*a(n-8) -11424901483364*a(n-9) +86498377558175*a(n-10) -31767158001113*a(n-11) -3617589382708047*a(n-12) +20693266346928210*a(n-13) +10888192487943923*a(n-14) -546652409630123972*a(n-15) +1681515865137829063*a(n-16) +4013358879516874873*a(n-17) -33983772523000820266*a(n-18) +33111863198202404690*a(n-19) +257960652876911394845*a(n-20) -727947325958421224552*a(n-21) -568221315698344240576*a(n-22) +4807060185026767170712*a(n-23) -3133719554772897792592*a(n-24) -15172922164215860043716*a(n-25) +23613973519613807140264*a(n-26) +21941571653572275412952*a(n-27) -66462530816578512662688*a(n-28) -2423064632835660970480*a(n-29) +101519954129757123683008*a(n-30) -38482562973699671210464*a(n-31) -91174177912735792628544*a(n-32) +59493374679631303605248*a(n-33) +48485959363726885547520*a(n-34) -44332290747363931594240*a(n-35) -14202007929251348447232*a(n-36) +18965402349674525710848*a(n-37) +1540656279076359243264*a(n-38) -4753117347999007374336*a(n-39) +269751803727187415040*a(n-40) +663177631600048187392*a(n-41) -96002320931723030528*a(n-42) -44409102700361863168*a(n-43) +9151174318820646912*a(n-44) +918429987777970176*a(n-45) -240590747390312448*a(n-46) -2948910065123328*a(n-47) +1511272910684160*a(n-48)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A087837 A235811 A051982 * A245206 A340872 A104444

Adjacent sequences:  A210136 A210137 A210138 * A210140 A210141 A210142

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 17 2012

STATUS

approved

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Last modified November 29 09:18 EST 2021. Contains 349416 sequences. (Running on oeis4.)