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 A255559 #15 Apr 19 2015 00:53:12 %S A255559 1,1,2,2,1,1,3,3,1,2,2,1,1,1,4,4,1,2,3,1,1,3,2,1,2,2,1,1,1,1,5,5,1,2, %T A255559 3,1,1,4,2,1,2,4,1,1,1,3,2,1,3,3,1,1,2,2,1,2,2,1,1,1,1,1,6,6,1,2,3,1, %U A255559 1,4,2,1,2,5,1,1,1,3,2,1,3,5,1,1,2,2,1,2,4,1,1,1,1,3,2,1,4,4,1,1,2,2,1,3,3,1 %N A255559 One-based column index of n in array A255555. %C A255559 Equally: One-based row index of n in array A255557. %H A255559 Antti Karttunen, <a href="/A255559/b255559.txt">Table of n, a(n) for n = 1..8192</a> %F A255559 a(1) = 1; for n > 1, if A213714(n) = 0 [i.e., if n is one of the terms of A055938], then a(n) = 1, otherwise 1 + a(A213714(n)-1). %F A255559 In other words, a(1) = 1, and for n > 1, if n = A005187(k) for some k, then a(n) = 1 + a(k-1), otherwise it must be that n is in A055938, in which case a(n) = 1. %F A255559 Other identities and observations. For all n >= 1: %F A255559 a(n) <= A256478(n) <= A070939(n). %F A255559 a(n) <= A256993(n) + 1. %o A255559 (Scheme, with memoization-macro definec) %o A255559 (definec (A255559 n) (if (or (= 1 n) (zero? (A213714 n))) 1 (+ 1 (A255559 (+ -1 (A213714 n)))))) %Y A255559 Cf. A005187, A055938, A070939, A213714, A255555, A255557. %Y A255559 Cf. also A255560 (corresponding row index). %Y A255559 Cf. A254111, A256989, A256478, A256993. %K A255559 nonn %O A255559 1,3 %A A255559 _Antti Karttunen_, Apr 14 2015