Consider a non-palindromic 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 Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(j)*10^(j-1)})} = Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(k-j+1)*10^(i-j)})} (see example below).

A241503

Consider a non-palindromic 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 Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(j)*10^(j-1)})} = Sum_{i=1..k-1}{phi(Sum_{j=1..i}{d_(k-j+1)*10^(i-j)})} (see example below).

Terms

    a(0) =12a(1) =21a(2) =34a(3) =36a(4) =43a(5) =46a(6) =58a(7) =63a(8) =64a(9) =79a(10) =85a(11) =97a(12) =338a(13) =356a(14) =374a(15) =376a(16) =426a(17) =456a(18) =544a(19) =580a(20) =593a(21) =698a(22) =845a(23) =886a(24) =947a(25) =963a(26) =2071a(27) =2162a(28) =3188a(29) =4187

External references