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%I #25 Jan 14 2024 20:35:23
%S 2,6,10,14,18,22,26,30,34,38,42,46,50,54,58,126,130,134,138,142,146,
%T 150,154,158,162,166,170,174,178,182,186,254,258,262,266,270,274,278,
%U 282,286,290,294,298,302,306,310,314,382,386,390,394,398,402,406,410,414
%N a(16j+i) = 8(16j+i) + e_i, for j >= 0, 0 <= i <= 15, where e_0, ..., e_15 are 2, -2, -6, -10, -14, -18, -22, -26, -30, -34, -38, -42, -46, -50, -54, 6.
%C Certainly by term n = 8*(2^119 - 1) = 10^36.72..., this sequence and A103747 disagree.
%C The point of divergence is substantially earlier, described precisely by _Charlie Neder_ in his Feb 2019 comment in A103747. - _Peter Munn_, Jan 14 2024
%H David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL8/Sloane/sloane300.html">Sloping binary numbers: a new sequence related to the binary numbers</a>, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
%H <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1).
%H <a href="/index/Se#sequences_which_agree_for_a_long_time">Index entries for sequences which agree for a long time but are different</a>
%F a(n) = a(n-1) + a(n-16) - a(n-17). - _R. J. Mathar_, Jul 21 2013
%F G.f.: (2 + 4*x + 4*x^2 + 4*x^3 + 4*x^4 + 4*x^5 + 4*x^6 + 4*x^7 + 4*x^8 + 4*x^9 + 4*x^10 + 4*x^11 + 4*x^12 + 4*x^13 + 4*x^14 + 68*x^15 + 2*x^16 ) / ( (1+x) *(x^2+1) *(x^4+1) *(x^8+1) *(x-1)^2 ). - _R. J. Mathar_, Jul 21 2013
%Y Cf. A102370 (Sloping binary numbers), A103747 (trajectory of 2).
%K nonn
%O 0,1
%A _Philippe Deléham_, Nov 13 2007, Mar 29 2009
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