137161domain: NAppears in sequencesNumber of compositions of n avoiding the pattern 1111.at n=21A232464a(n) = Sum_{1 <= x_1, x_2, x_3 <= n} sigma( n/gcd(x_1, x_2, x_3, n) ).at n=18A373130a(n) = Sum_{1 <= x_1, x_2 <= n} sigma( ( n/gcd(x_1, x_2, n) )^2 ).at n=18A373132