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A158778
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G.f.: (1+3*x+12*x^2+48*x^3)/(1-x-256*x^4)
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0
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1, 4, 16, 64, 320, 1344, 5440, 21824, 103744, 447808, 1840448, 7427392, 33985856, 148624704, 619779392, 2521191744, 11221570880, 49269495104, 207933019456, 853358105920, 3726080251200, 16339070997824, 69569923978560
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n)= +a(n-1) + 256*a(n-4).
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MATHEMATICA
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Clear[M, v, t, n];
M = {{0, t, 0, 0}, {0, 0, t, 0}, {0, 0, 0, t}, {t, 0, 0, 1/t}};
v[0] = {1, 1, 1, 1};
v[n_] := v[n] = M.v[n - 1];
CharacteristicPolynomial[M, x];
t = 2;
a = Table[t^n*v[n][[1]], {n, 0, 30}]
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PROG
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(PARI) Vec((1+3*x+12*x^2+48*x^3)/(1-x-256*x^4)+O(x^44))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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