A241249 - OEIS

A241249

Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4

3, 5, 17, 39, 87, 212, 488, 1134, 2644, 6118, 14205, 32964, 76395, 177149, 410798, 952422, 2208198, 5120116, 11871494, 27525169, 63821315, 147978217, 343107782, 795547902, 1844596244, 4276972393, 9916824861, 22993686321, 53314396437

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 2 of A241255

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-2) +14*a(n-3) +5*a(n-4) -28*a(n-5) -89*a(n-6) -50*a(n-7) +93*a(n-8) +303*a(n-9) +214*a(n-10) -113*a(n-11) -561*a(n-12) -468*a(n-13) -47*a(n-14) +584*a(n-15) +499*a(n-16) +142*a(n-17) -359*a(n-18) -96*a(n-19) -23*a(n-20) +128*a(n-21) -102*a(n-22) -99*a(n-23) -119*a(n-24) +32*a(n-25) +82*a(n-26) +113*a(n-27) +50*a(n-28) -7*a(n-29) -42*a(n-30) -20*a(n-31) +a(n-32) +4*a(n-33) +a(n-34) for n>37

EXAMPLE

Some solutions for n=4

..3..3....3..3....2..2....2..2....2..2....3..3....3..2....2..2....3..3....2..2

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

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

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

CROSSREFS

Sequence in context: A148517 A148518 A077796 * A067062 A148519 A148520

Adjacent sequences: A241246 A241247 A241248 * A241250 A241251 A241252

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 18 2014

STATUS

approved