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 A247124 Number of tilings of a 5 X n rectangle using n pentominoes of shapes I, U, X. 5
 1, 1, 1, 2, 3, 8, 14, 21, 37, 63, 122, 221, 374, 656, 1147, 2066, 3699, 6477, 11407, 20099, 35656, 63323, 111775, 197352, 348556, 616560, 1091570, 1929721, 3410509, 6028021, 10658114, 18851012, 33331681, 58927069, 104177155, 184188343, 325686763, 575858676 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Wikipedia, Pentomino FORMULA G.f.: see Maple program. EXAMPLE a(4) = 3: ._______. ._______. ._______. | | | | | | | ._. | | ._. | | | | | | | | |_| |_| |_| |_| | | | | | | | |_. ._| |_. ._| | | | | | | | | |_| | | |_| | | |_|_|_|_| |_|_____| |_____|_| . MAPLE gf:= -(x-1)^2 *(x^4+x^3+x^2+x+1)^2 / (x^15 +x^13 +x^11 -3*x^10 -2*x^8 -2*x^6 +6*x^5 +x^3 +x-1): a:= n-> coeff(series(gf, x, n+1), x, n): seq(a(n), n=0..50); CROSSREFS Cf. A174249, A233427, A247125, A247268, A264812. Sequence in context: A331820 A368855 A022951 * A171237 A173149 A128305 Adjacent sequences: A247121 A247122 A247123 * A247125 A247126 A247127 KEYWORD nonn AUTHOR Alois P. Heinz, Nov 19 2014 STATUS approved

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Last modified April 21 18:12 EDT 2024. Contains 371874 sequences. (Running on oeis4.)