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1, 4, 11, 25, 50, 93, 162, 272, 439, 694, 1069, 1627, 2432, 3611, 5292, 7730, 11181, 16156, 23167, 33237, 47390, 67673, 96134, 136868, 193971, 275634, 390049, 553599, 782668, 1110023, 1568432, 2223430, 3140553, 4450872, 6285459, 8906457, 12576010, 17818405
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = Sum_{i=1..n} 1/8*(2^(i/2+2)*((10-7*sqrt(2))*(-1)^(i) + 10 + 7*sqrt(2))-(-1)^(i)-2*i*(i+12)-79).
a(n) = (1/32)*( (-1/2)^n + 32*(41*sqrt(2)-58)*(sqrt(2)-2)^n - 32*(58+41*sqrt(2))*(-2-sqrt(2))^n ).
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EXAMPLE
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MATHEMATICA
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LinearRecurrence[{3, 0, -8, 7, 3, -6, 2}, {1, 4, 11, 25, 50, 93, 162}, 40] (* Harvey P. Dale, Sep 09 2015 *)
CoefficientList[Series[(1 + x - x^2)/((1 - x)^4*(1 + x)*(1 - 2*x^2)), {x, 0, 50}], x] (* G. C. Greubel, Feb 25 2017 *)
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PROG
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(PARI) x='x+O('x^50); Vec((1+x-x^2)/((1-x)^4*(1+x)*(1-2*x^2))) \\ G. C. Greubel, Feb 25 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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