(Translated by https://www.hiragana.jp/)
# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a162868 Showing 1-1 of 1 %I A162868 #11 Aug 18 2019 16:34:59 %S A162868 1,2,40,4680,1591200,1891936800,4270101357600,11089453225687200, %T A162868 32565776278494961756800,28429922691126101613686400, %U A162868 42204464874461454985621846571472000 %N A162868 Least common multiple of all squares and all sums of two squares up to n^2 + n^2. %C A162868 Also the least common multiple of all rows of triangle A069011 up to the n-th row. %C A162868 lcm(0) is taken to be 1, which follows from 0! = 1. %F A162868 a(n) = lcm({ x,y:N | 0 <= x <= y <= n; x^2+y^2 }) %e A162868 a(3) = lcm(0^2+0^2; 0^2+1^2, 1^2+1^2; 0^2+2^2, 1^2+2^2, 2^2+2^2; 0^2+3^2, 1^2+3^2, 2^2+3^2, 3^2+3^2) = lcm(0; 1, 2; 4, 5, 8; 9, 10, 13, 18) = 4680. %o A162868 (PARI) a(n) = {mcl = 1; for (x = 0, n, for (y = 0, n, if (v = x^2+y^2, mcl = lcm(mcl, v)););); mcl;} \\ _Michel Marcus_, Sep 03 2013 %Y A162868 Cf. A069011, A001481. %K A162868 easy,nonn %O A162868 0,2 %A A162868 _Carl R. White_, Jul 15 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE