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 A303649 #21 Sep 17 2019 17:56:48 %S A303649 0,0,0,1,6,18,44,91,172,300,496,781,1186,1742,2492,3479,4760,6392, %T A303649 8448,11001,14142,17962,22572,28083,34628,42340,51376,61893,74074, %U A303649 88102,104188,122543,143408,167024,193664,223601,257142,294594,336300,382603,433884,490524 %N A303649 Number of involutions of [n] having exactly one peak. %H A303649 Alois P. Heinz, <a href="/A303649/b303649.txt">Table of n, a(n) for n = 0..20000</a> %H A303649 Wikipedia, <a href="https://en.wikipedia.org/wiki/Involution_(mathematics)">Involution</a> %H A303649 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,-4,10,-4,-4,4,-1) %F A303649 G.f.: x^3*(x^4-2*x^2+2*x+1)/((x+1)^2*(x-1)^6). %e A303649 a(3) = 1: 132. %e A303649 a(4) = 6: 1243, 1324, 1432, 2143, 3412, 4231. %e A303649 a(5) = 18: 12354, 12435, 12543, 13245, 14325, 14523, 15432, 21354, 21435, 21543, 32154, 34125, 42315, 42513, 45312, 52341, 52431, 53241. %t A303649 LinearRecurrence[{4,-4,-4,10,-4,-4,4,-1},{0,0,0,1,6,18,44,91},50] (* _Harvey P. Dale_, Sep 17 2019 *) %Y A303649 Column k=1 of A303648. %Y A303649 Cf. A000085. %K A303649 nonn,easy %O A303649 0,5 %A A303649 _Alois P. Heinz_, Apr 27 2018