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 A175135 #18 Jan 29 2025 22:17:12 %S A175135 1,2,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,31,41,42,43, %T A175135 44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66, %U A175135 67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,117,118,120,121,122,124,125,126,127,128,129,130,132,133,134,135,136,137,138,139,141,142,143,145,146,148,149,150,151,153,154,157,161,162,163,165 %N A175135 Numbers k such that there exist permutations p, q of some size m such that k = f_m(f_{m-1}(...f_1(1)...)), where f_i(x) = p_i*x + q_i. %C A175135 Also, numbers k such that A175134(k) >= 1. %C A175135 For a fixed m, the smallest value of f_m(f_{m-1}(...f_1(1)...)) is achieved on the pair ((m,m-1,...,1), (1,2,...,m)) and is given by A370369(m) + m = A014144(m) + m!. - _Max Alekseyev_, Jan 29 2025 %Y A175135 Cf. A014144, A175134, A370369. %K A175135 nonn %O A175135 1,2 %A A175135 _Leroy Quet_, Feb 21 2010 %E A175135 a(7) onward from _Max Alekseyev_, Dec 27 2024 %E A175135 Edited by _Max Alekseyev_, Jan 29 2025