A171067
G.f. -x*(x-1)*(1+x)/((x^2+3*x+1)*(x^2-4*x+1)).
Original entry on oeis.org
0, 1, 1, 10, 21, 121, 340, 1561, 5061, 20890, 72721, 285121, 1028160, 3931201, 14425201, 54480250, 201635301, 756931801, 2813339860, 10529812921, 39218508021, 146573045290, 546474598561, 2040893746561, 7612994269440
Offset: 0
R. J. Mathar, at the request of R. K. Guy, Sep 03 2010
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I:=[0, 1, 1, 10]; [n le 4 select I[n] else Self(n-1) + 10*Self(n-2) + Self(n-3) - Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 19 2012
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CoefficientList[Series[-x*(x - 1)*(1 + x)/((x^2 + 3*x + 1)*(x^2 - 4*x + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 19 2012 *)
LinearRecurrence[{1,10,1,-1},{0,1,1,10},30] (* Harvey P. Dale, Dec 24 2017 *)
A171068
G.f. -x*(x-1)*(1+x)/(1-x-11*x^2-x^3+x^4).
Original entry on oeis.org
0, 1, 1, 11, 23, 144, 407, 2003, 6601, 28897, 103104, 425569, 1582009, 6337475, 24062039, 94930704, 364368599, 1426330907, 5505254161, 21464332033, 83084090112, 323270665729, 1253154734833, 4870751815931, 18895640474711
Offset: 0
R. J. Mathar, at the request of R. K. Guy, Sep 03 2010
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I:=[0, 1, 1, 11]; [n le 4 select I[n] else Self(n-1) + 11*Self(n-2) + Self(n-3) - Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 19 2012
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CoefficientList[Series[-x*(x - 1)*(1 + x)/(1 - x - 11*x^2 - x^3 + x^4), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 19 2012 *)
A171069
G.f. -x*(x-1)*(1+x)/(1-x-12*x^2-x^3+x^4).
Original entry on oeis.org
0, 1, 1, 12, 25, 169, 480, 2521, 8425, 38988, 142129, 615889, 2352000, 9845809, 38543569, 158429388, 628446025, 2558296441, 10219534560, 41389108489, 165953373625, 670283913612, 2692893971041, 10860865199521, 43679923392000
Offset: 0
-
I:=[0, 1, 1, 12]; [n le 4 select I[n] else Self(n-1) + 12*Self(n-2) + Self(n-3) - Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 19 2012
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CoefficientList[Series[-x*(x - 1)*(1 + x)/(1 - x - 12*x^2 - x^3 + x^4), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 19 2012 *)
LinearRecurrence[{1,12,1,-1},{0,1,1,12},30] (* Harvey P. Dale, Nov 04 2024 *)
Comments