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 A248461 T(n,k)=Number of length n+2 0..k arrays with no three consecutive terms having the sum of any two elements equal to twice the third 13
 6, 18, 10, 48, 36, 16, 96, 148, 72, 26, 174, 380, 460, 144, 42, 282, 862, 1512, 1436, 288, 68, 432, 1652, 4272, 6040, 4488, 576, 110, 624, 2956, 9684, 21182, 24160, 14040, 1152, 178, 870, 4860, 20236, 56782, 105026, 96736, 43940, 2304, 288, 1170, 7642, 37868 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...6...18......48.......96.......174........282.........432.........624 ..10...36.....148......380.......862.......1652........2956........4860 ..16...72.....460.....1512......4272.......9684.......20236.......37868 ..26..144....1436.....6040.....21182......56782......138534......295078 ..42..288....4488....24160....105026.....332940......948412.....2299356 ..68..576...14040....96736....520788....1952254.....6493036....17917712 .110.1152...43940...387488...2582406...11447368....44452660...139623544 .178.2304..137532..1552448..12805334...67123652...304332258..1088015294 .288.4608..430508..6220480..63497776..393591402..2083523194..8478351478 .466.9216.1347652.24926080.314866606.2307892826.14264241960.66067495706 LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = 2*a(n-1) k=3: a(n) = 2*a(n-1) +3*a(n-2) +4*a(n-3) -3*a(n-4) -12*a(n-5) -4*a(n-6) k=4: a(n) = 3*a(n-1) +5*a(n-2) +2*a(n-3) -16*a(n-4) -28*a(n-5) -8*a(n-6) k=5: [order 12] k=6: [order 16] k=7: [order 22] Empirical for row n: n=1: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -a(n-5); also a cubic polynomial plus a constant quasipolynomial with period 2 n=2: a(n) = 2*a(n-1) -a(n-3) -2*a(n-5) +2*a(n-6) +a(n-8) -2*a(n-10) +a(n-11); also a quartic polynomial plus a linear quasipolynomial with period 12 n=3: [order 27; also a degree 5 polynomial plus a quadratic quasipolynomial with period 840] n=4: [order 61] EXAMPLE Some solutions for n=5 k=4 ..3....4....4....0....1....4....3....1....0....0....1....1....1....1....3....4 ..4....4....0....1....3....1....2....1....2....3....1....0....3....3....0....1 ..4....1....4....1....0....2....3....4....3....1....0....1....4....4....3....1 ..3....4....4....0....1....1....3....1....2....0....1....0....0....0....3....4 ..0....0....1....4....1....2....2....4....3....1....4....3....0....0....4....1 ..3....4....2....0....2....1....3....1....3....4....4....4....3....1....1....4 ..3....3....4....0....2....1....2....2....4....2....0....4....1....3....1....4 CROSSREFS Column 1 is A006355(n+4) Column 2 is A005010 Sequence in context: A093061 A264028 A078741 * A129870 A331056 A274877 Adjacent sequences: A248458 A248459 A248460 * A248462 A248463 A248464 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 06 2014 STATUS approved

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Last modified February 1 14:40 EST 2023. Contains 359993 sequences. (Running on oeis4.)