%I M0335 N0127 #15 Oct 14 2023 21:08:08
%S 2,2,4,10,16,28,48,76,110,144,182,222,264,310,356,408,468,536,610,684,
%T 762,842,924,1010,1096,1188,1288,1396,1510,1624,1742,1862,1984,2110,
%U 2236,2368
%N 2nd differences are periodic.
%D "On the Determination of the General Term of a New Class of Infinite Series", by Charles Babbage, Trans. Camb. Phil. Soc., 2 (1827), 217-225 (see p. 220).
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (3, -4, 4, -4, 4, -4, 4, -4, 4, -3, 1).
%F G.f.: (-4x^10+2x^9-2x^8-4x^7-4x^6-4x^5-2x^4+2x^3-6x^2+4x-2)/((x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)*(x-1)^3). - _Ralf Stephan_, Mar 11 2003
%t LinearRecurrence[{3, -4, 4, -4, 4, -4, 4, -4, 4, -3, 1},{2, 2, 4, 10, 16, 28, 48, 76, 110, 144, 182},36] (* _Ray Chandler_, Aug 25 2015 *)
%Y Cf. A002081.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_