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 A268052 Number of n X 4 0..2 arrays with new values introduced in each row and column in sequential order starting with zero. 1
 1, 8, 86, 1082, 14554, 200818, 2796826, 39082562, 546791114, 7653252338, 107136417466, 1499864270242, 20997871916074, 293969067496658, 4115561248327706, 57617828993493122, 806649463493495434 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 21*a(n-1) - 108*a(n-2) + 140*a(n-3). Conjectures from Colin Barker, Jan 11 2019: (Start) G.f.: x*(1 - 13*x + 26*x^2) / ((1 - 2*x)*(1 - 5*x)*(1 - 14*x)). a(n) = (105*2^n + 196*5^n + 25*2^(1+n)*7^n) / 1890. (End) EXAMPLE Some solutions for n=4: ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..0..1..0..1....0..1..1..0....0..0..1..1....0..1..1..1....0..1..0..1 ..0..0..1..1....0..1..2..1....0..0..0..0....0..1..1..2....0..0..1..2 ..0..1..0..0....0..1..0..1....0..1..1..0....0..1..0..1....0..1..1..1 CROSSREFS Column 4 of A268056. Sequence in context: A357420 A371407 A369505 * A268075 A202545 A131812 Adjacent sequences: A268049 A268050 A268051 * A268053 A268054 A268055 KEYWORD nonn AUTHOR R. H. Hardin, Jan 25 2016 STATUS approved

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Last modified September 17 17:26 EDT 2024. Contains 375990 sequences. (Running on oeis4.)