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 A182278 #17 Apr 26 2012 11:34:10 %S A182278 4,7,10,24,26,42,117,135,141,150,194,220,224,236,312,336,399,406,438, %T A182278 497,529,652,663,707,797,844,879,908,988,1092,1099,1133,1141,1300, %U A182278 1304,1371,1397,1494,1513,1536,1676,1886,1970,1981,1988,2076,2093,2221,2270,2356,2390,2462 %N A182278 Indices n such that A068869(n)<A068869(n-1). %C A182278 The sequence A068869 is statistically growing, but I conjecture that there are infinitely many indices n such that A068869(n)<A068869(n-1). However, we don't yet know whether there are two consecutive integers in the sequence, i.e., a term n such that, additionally to the above, A068869(n+1)<A068869(n). %C A182278 a(n) roughly grows like n^2. %t A182278 w = 0; aa = {}; Do[k = Ceiling[Sqrt[n!]]^2 - n!; %t A182278 If[k < w, AppendTo[aa, n - 1]]; w = k, {n, 1, 2500}]; aa %o A182278 (PARI) for(i=1,2500,A068869(i)<A068869(i-1)&print1(i",")) %K A182278 nonn %O A182278 1,1 %A A182278 _M. F. Hasler_ and _Artur Jasinski_, Apr 23 2012