A231835 Number of nX4 0..3 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

50, 760, 52411, 3477361, 241961326, 16599585680, 1140658285204, 78428361897720, 5390322528656652, 370517687958114665, 25468098036554313595, 1750580722347118467767, 120328698088745644429376

Offset

1,1

Comments

Column 4 of A231839

Links

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

Formula

Empirical: a(n) = 50*a(n-1) +1285*a(n-2) +7390*a(n-3) -474257*a(n-4) -1804709*a(n-5) +26939722*a(n-6) +146411418*a(n-7) -723447888*a(n-8) -4625331556*a(n-9) +10015768057*a(n-10) +82892906609*a(n-11) -62795080068*a(n-12) -818760182586*a(n-13) -351667043000*a(n-14) +3018875872284*a(n-15) +2497051029141*a(n-16) -4738505166389*a(n-17) -4603655313597*a(n-18) +3261950222325*a(n-19) +3677474787541*a(n-20) -106455016254*a(n-21) -713820548139*a(n-22) -118783642889*a(n-23) +16718453115*a(n-24) +11208957796*a(n-25) +2071964480*a(n-26) +220038912*a(n-27) +12795904*a(n-28) +409600*a(n-29) for n>30

Example

Some solutions for n=3
..2..1..1..2....0..0..2..3....3..2..0..0....3..3..3..2....3..3..3..1
..1..0..0..0....0..2..1..1....0..0..0..1....2..1..1..1....0..0..0..0
..0..0..0..0....1..1..2..2....0..2..2..2....1..3..2..2....3..2..0..0

Crossrefs

Sequence in context: A223859 A223982 A128799 * A206120 A160287 A104672

Adjacent sequences: A231832 A231833 A231834 * A231836 A231837 A231838

Keyword

nonn

Author

R. H. Hardin, Nov 14 2013

Status

approved