A239189 Number of nX3 0..4 arrays with no element equal to the sum of elements to its left or the sum of elements above it, modulo 5

40, 1276, 43648, 1436268, 47885992, 1588084496, 52771184780, 1752250223616, 58199143332448, 1932821596727928, 64192434819147292, 2131913717519150940, 70803992837719272728, 2351500085296140060216, 78096680530619644287320

Offset

1,1

Comments

Column 3 of A239194

Links

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

Formula

Empirical: a(n) = 20*a(n-1) +609*a(n-2) -3844*a(n-3) -78166*a(n-4) +509936*a(n-5) +4176515*a(n-6) -38652038*a(n-7) -63188831*a(n-8) +1459689976*a(n-9) -2568978052*a(n-10) -22520157031*a(n-11) +98699770039*a(n-12) +28345550437*a(n-13) -841671958032*a(n-14) +926865397947*a(n-15) +2231140185591*a(n-16) +707652733371*a(n-17) -15915790759160*a(n-18) -19798980156226*a(n-19) +105982465124316*a(n-20) +43073468973888*a(n-21) -266109188058980*a(n-22) -158868787983268*a(n-23) -52293160322104*a(n-24) +1331074976293600*a(n-25) +864182907177600*a(n-26) -3590559475955792*a(n-27) -469514072024064*a(n-28) +3671096466576704*a(n-29) -1775507453437696*a(n-30) +436223558752000*a(n-31) +10686328656896*a(n-32)

Example

Some solutions for n=3
..1..4..4....4..1..2....2..1..2....1..3..2....3..2..3....1..3..3....2..1..1
..4..2..2....2..3..4....1..3..1....2..0..0....1..3..2....4..2..2....3..4..3
..2..3..2....2..3..2....2..0..0....4..0..0....3..2..4....4..2..4....1..3..2

Crossrefs

Sequence in context: A006101 A278381 A251202 * A188253 A049396 A135644

Adjacent sequences: A239186 A239187 A239188 * A239190 A239191 A239192

Keyword

nonn

Author

R. H. Hardin, Mar 11 2014

Status

approved