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G.f.: (1+11 x)/(-1+x^2)^2 (* Harvey P. Dale, Jul 27 2021 *)
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Flatten[Table[{n, 11n}, {n, 40}]] (* or *) LinearRecurrence[{0, 2, 0, -1}, {1, 11, 2, 22}, 80] (* Harvey P. Dale, Nov 25 2015 *)
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<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2, 0, -1).
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a(n)=(1/4)*(12*n+10*n*(-1)^n+1+(-1)^(n-1)) for n > 1, with a(1) = 1 (corrected by _Jon E. Schoenfield, _, Jun 19 2010)
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Partially edited by _N. J. A. Sloane, _, Jun 23 2010