This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A086848 #6 May 07 2025 10:32:16
%S A086848 42,43,98,101,145,152,185,200,222,253,264,327,327,454,443,698,676,
%T A086848 1187,1154,2177,2133,4180,4125,8220,8154,16345,16268,32651,32563,
%U A086848 65330,65231,130766,130656,261727,261606,523749,523617,1047904
%N A086848 First differences are formed by interleaving {2^k - 1, k = 1, 2, 3, ...} and {11*k, k = 5, 4, 3, ...}.
%C A086848 A version of this was given as a puzzle somewhere.
%C A086848 There are infinitely many solutions to the stated sequence name producing the specified interleaving as a first difference. I assume there was some other condition given in the puzzle that arrived at this particular solution. - _Ray Chandler_, May 07 2025
%H A086848 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,4,-4,-5,5,2,-2).
%F A086848 Empirical g.f.: x*(48*x^6+34*x^4-x^3-113*x^2+x+42) / ((x-1)^3*(x+1)^2*(2*x^2-1)). - _Colin Barker_, Mar 05 2013
%F A086848 Conjectured g.f. above confirmed. Interleaving of two linear recurrences is another linear recurrence, as is the first difference. - _Ray Chandler_, May 07 2025
%Y A086848 Cf. A087098, A087099, A001068.
%K A086848 nonn
%O A086848 1,1
%A A086848 Michael M. Taylor, Aug 09 2003