A248995 Number of length n+4 0..2 arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two

190, 464, 1140, 2802, 6872, 16800, 41084, 100590, 246378, 603406, 1477382, 3616932, 8855718, 21683810, 53094696, 130003772, 318312974, 779389186, 1908348180, 4672636566, 11441043846, 28013571820, 68591653930, 167947819478

Offset

1,1

Comments

Column 2 of A249001

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) +2*a(n-4) +16*a(n-5) -3*a(n-6) -27*a(n-7) -36*a(n-8) -41*a(n-9) -73*a(n-10) -56*a(n-11) +40*a(n-12) +103*a(n-13) +182*a(n-14) +48*a(n-15) +102*a(n-16) +147*a(n-17) +128*a(n-18) -82*a(n-19) +74*a(n-20) +90*a(n-21) -137*a(n-22) -220*a(n-23) -204*a(n-24) -4*a(n-25) -152*a(n-26) -201*a(n-27) -183*a(n-28) +54*a(n-29) -37*a(n-30) -48*a(n-31) +a(n-32) -31*a(n-33) -10*a(n-34) -8*a(n-35) +24*a(n-36) +16*a(n-37)

Example

Some solutions for n=6
..0....0....1....1....1....0....2....2....0....0....2....2....2....0....0....0
..0....1....1....0....2....1....1....0....1....2....0....0....1....1....1....1
..2....2....1....2....1....2....1....2....2....0....2....0....0....1....2....0
..0....1....2....1....2....1....0....1....0....2....2....0....2....2....0....2
..0....2....2....0....0....2....2....2....0....0....0....1....2....2....0....1
..0....0....2....0....2....1....2....2....0....2....2....1....1....0....0....2
..1....1....2....0....2....2....1....2....0....0....2....2....1....2....0....1
..0....0....0....2....2....1....2....1....2....0....0....2....1....2....1....1
..1....1....0....2....2....0....1....2....0....0....2....2....1....0....2....2
..1....0....0....0....1....2....1....2....0....1....2....2....2....0....1....0

Crossrefs

Sequence in context: A350423 A051979 A097647 * A258725 A232387 A296521

Adjacent sequences: A248992 A248993 A248994 * A248996 A248997 A248998

Keyword

nonn

Author

R. H. Hardin, Oct 18 2014

Status

approved