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 A232088 #27 Dec 23 2024 14:53:43 %S A232088 1,1,1,1,1,1,2,1,1,1,1,1,2,4,1,1,1,1,1,2,1,1,2,4,8,1,1,1,1,1,2,1,1,2, %T A232088 4,1,1,2,4,8,16,1,1,1,1,1,2,1,1,2,4,1,1,2,4,8,1,1,2,4,8,16,32,1,1,1,1, %U A232088 1,2,1,1,2,4,1,1,2,4,8,1,1,2,4,8,16,1,1,2,4,8,16,32,64 %N A232088 Table read by rows: Replace last term of the n-th row with 1,1,2,4,...,2^n to get the next row. %C A232088 Suggested (without definition) by A. Groeneveld in reply to a question on the SeqFan list. %C A232088 The "limiting row" is given by A232089. %C A232088 The diagonal T(i, i) also tends to A232089. - _Michel Marcus_, Dec 22 2014 %H A232088 A. Groeneveld, <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan/2014-January/012308.html">Re: guess the relation</a>, SeqFan mailing list, Jan. 2014. %e A232088 The table goes like: %e A232088 (row n=0) 1 %e A232088 (row n=1) 1, 1 %e A232088 (row n=2) 1, 1, 1, 2 %e A232088 (row n=3) 1, 1, 1, 1, 1, 2, 4 %e A232088 (row n=4) 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 8 %e A232088 (row n=5) 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 4, 8, 16 %o A232088 (PARI) list_A232088(nRows,a=[1])=for(i=1,nRows,print(a);a[#a]=vector(i+1,j,max(2^(j-2),1));a=concat(a));a %Y A232088 Row lengths are A000124(n)=n(n+1)/2+1. %K A232088 nonn,easy,tabf %O A232088 0,7 %A A232088 _M. F. Hasler_, Jan 20 2014