A089932
G.f.: (1-x)^5/((-1+4*x-3*x^2+x^3)*(1-3*x+x^2)*(-1+2*x)).
Original entry on oeis.org
1, 4, 16, 60, 215, 747, 2539, 8491, 28049, 91782, 298109, 962594, 3093687, 9905444, 31619072, 100681587, 319944693, 1015039586, 3215903436, 10177462312, 32179381609, 101668695088, 321014982282, 1013068488800, 3195703133266, 10077204123667, 31767718475161
Offset: 0
- Harvey P. Dale, Table of n, a(n) for n = 0..1000
- A. Burstein and T. Mansour, Words restricted by 3-letter generalized multipermutation patterns, Annals. Combin., 7 (2003), 1-14. See Th. 3.6, case k=4.
- Index entries for linear recurrences with constant coefficients, signature (9,-30,46,-34,13,-2)
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CoefficientList[Series[(1-x)^5/((-1+4x-3x^2+x^3)(1-3x+x^2)(-1+2x)),{x,0,30}],x] (* or *) LinearRecurrence[{9,-30,46,-34,13,-2},{1,4,16,60,215,747},30] (* Harvey P. Dale, May 20 2015 *)
A089947
G.f.: (1-x)^9/((1-5*x+6*x^2-4*x^3+x^4)*(-1+4*x-3*x^2+x^3)*(1-3*x+x^2)*(-1+2*x)).
Original entry on oeis.org
1, 5, 25, 115, 500, 2092, 8512, 33910, 132892, 514079, 1968021, 7470434, 28160354, 105542777, 393672627, 1462503264, 5414896000, 19991387639, 73628208598, 270614786791, 992880076249, 3637400475618, 13308475404934, 48639360355243, 177597694845849
Offset: 0
- A. Burstein and T. Mansour, Words restricted by 3-letter ..., Annals. Combin., 7 (2003), 1-14; see Th. 3.6, case k=5.
- A. Burstein and T. Mansour, Words restricted by 3-letter ....
- Index entries for linear recurrences with constant coefficients, signature (14, -81, 254, -481, 588, -485, 270, -98, 21, -2).
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CoefficientList[Series[(1-x)^9/((1-5x+6x^2-4x^3+x^4)(-1+4x-3x^2+x^3)(1-3x+x^2)(-1+2x)),{x,0,30}],x] (* or *) LinearRecurrence[{14,-81,254,-481,588,-485,270,-98,21,-2},{1,5,25,115,500,2092,8512,33910,132892,514079},30] (* Harvey P. Dale, Oct 03 2015 *)
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