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 A214285 #42 Mar 05 2024 11:28:21 %S A214285 871,45361,872,45362 %N A214285 List of amicable sums-of-factorial-of-digits pairs (A,B): A equals the sum of the factorials of B's digits in base 10, and vice versa. %C A214285 Number pairs (A,B), A <> B, such that A061602(A)=B and A061602(B)=A, indicating where the mapping of A to the sum of the factorials of its digits has a cycle of length 2. %C A214285 Peter Kiss (1977) showed there are no further terms. - _N. J. A. Sloane_, Mar 17 2019 %D A214285 P. Kiss, A generalization of a problem in number theory, Math. Sem. Notes Kobe Univ., 5 (1977), no. 3, 313-317. MR 0472667 (57 #12362). %H A214285 P. Kiss, <a href="http://real-j.mtak.hu/9373/1/MTA_MatematikaiLapok_1974.pdf">A generalization of a problem in number theory</a>, [Hungarian], Mat. Lapok, 25 (No. 1-2, 1974), 145-149. %H A214285 Jaeyool Park, <a href="http://numberer.blogspot.kr/2012/07/factorions.html">Blog</a> [in Korean]. %H A214285 G. D. Poole, <a href="https://doi.org/10.1080/0025570X.1971.11976172">Integers and the sum of the factorials of their digits</a>, Math. Mag., 44 (1971), 278-279, <a href="https://www.jstor.org/stable/2688641">[JSTOR]</a>. %H A214285 Project Euler, <a href="http://projecteuler.net/problem=74">Problem 74-Digit factorial chains</a> %H A214285 Shoei Takahashi, Unchone Lee, Hikaru Manabe, Aoi Murakami, Daisuke Minematsu, Kou Omori, and Ryohei Miyadera, <a href="https://arxiv.org/abs/2308.06691">Curious Properties of Iterative Sequences</a>, arXiv:2308.06691 [math.GM], 2023. %H A214285 H. J. J. te Riele, <a href="https://ir.cwi.nl/pub/6662">Iteration of number-theoretic functions</a>, Nieuw Archief v. Wiskunde, (4) 1 (1983), 345-360. See Example I.1.b. %e A214285 8! + 7! + 1! = 45361, 4! + 5! + 3! + 6! + 1! = 871. %Y A214285 Cf. A061602, A014080, A188284, A254499, A306955. %K A214285 nonn,base,tabf,fini,full %O A214285 1,1 %A A214285 _Jaeyool Park_, Jul 10 2012