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 A382218 #7 Mar 20 2025 09:29:12 %S A382218 1,4,5,16,17,18,19,20,21,22,23,64,65,66,67,68,69,70,71,76,77,82,83,88, %T A382218 89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108, %U A382218 109,110,111,112,113,114,115,116,117,118,119,304,305,306,307,308 %N A382218 Fixed points of A382217. %C A382218 This sequence corresponds to positive integers with factorial base expansion (d_1, ..., d_w) (where d_1 > 0) such that for any i in 2..w, there is some j in 1..i-1 such that d_j > i-j. %C A382218 Empirically, there are A111537(w+1) terms with w factorial base digits. %H A382218 Rémy Sigrist, <a href="/A382218/b382218.txt">Table of n, a(n) for n = 1..10000</a> %H A382218 Rémy Sigrist, <a href="/A382218/a382218.gp.txt">PARI program</a> %H A382218 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a> %e A382218 A382217(5) = 5, so the number 5 belongs to this sequence. %e A382218 A382217(6) = 1, so the number 6 does not belong to this sequence. %o A382218 (PARI) \\ See Links section. %Y A382218 Cf. A111537, A382217. %K A382218 nonn,base %O A382218 1,2 %A A382218 _Rémy Sigrist_, Mar 19 2025