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
Keywords
Examples
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
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)
Comments