Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that sigma(n) - n = Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(k-j+1)*10^(i-j)})} (see example below).

A240900

Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that sigma(n) - n = Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(k-j+1)*10^(i-j)})} (see example below).

Terms

    a(0) =11a(1) =13a(2) =17a(3) =19a(4) =23a(5) =29a(6) =1363a(7) =2983a(8) =23389a(9) =101299a(10) =132011a(11) =136363a(12) =144133a(13) =198169a(14) =1076441a(15) =1222423a(16) =1973987a(17) =2185367a(18) =2191463a(19) =2673623a(20) =11491523a(21) =18160663a(22) =127666453a(23) =262001569a(24) =264484657a(25) =2080368463a(26) =2763449953a(27) =20603271407a(28) =28272595783

External references