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 A319415 #12 Jan 19 2023 22:45:25 %S A319415 2,6,18,44,110,216,498,1030,2166,4494,9382,19256,39794,81452,166520, %T A319415 339588,691850,1405540,2856000,5793242,11743728,23782412,48133328, %U A319415 97335320,196737218,397413614,802432322,1619527864,3267496300,6590092572,13287437168,26783489454 %N A319415 Total runs-resistance of all binary vectors of length n. %C A319415 See triangle in A319411. %C A319415 If we divide a(n) by 2^n, we get the average runs-resistances, which are 1, 3/2, 9/4, 11/4, 55/16, 27/8, 249/64, 515/128, 1083/256, 2247/512, 4691/1024, 2407/512, ..., or, in other words, 1, 1.500000000, 2.250000000, 2.750000000, 3.437500000, 3.375000000, 3.890625000, 4.023437500, 4.230468750, 4.388671875, 4.581054688, 4.701171875, ... How does this grow? %H A319415 Hiroaki Yamanouchi, <a href="/A319415/b319415.txt">Table of n, a(n) for n = 1..75</a> %H A319415 Claude Lenormand, <a href="/A318921/a318921.pdf">Deux transformations sur les mots</a>, Preprint, 5 pages, Nov 17 2003. Apparently unpublished. This is a scanned copy of the version that the author sent to me in 2003. %Y A319415 Cf. A318928, A319411. %K A319415 nonn %O A319415 1,1 %A A319415 _N. J. A. Sloane_, Sep 20 2018 %E A319415 a(13)-a(32) from _Hiroaki Yamanouchi_, Sep 25 2018