Consider a decimal number of k>=2 digits x = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + ... + d_(2)*10 + d_(1) and the transform T(x)-> (d_(k)+d_(k-1) mod 10)*10^(k-1) + (d_(k-1)+d_(k-2) mod 10)*10^(k-2) + ... + (d_(2)+d_(1) mod 10)*10 + (d_(1)+d(k) mod 10). Sequence lists the numbers x such that T(x) divides x.

A244286

Consider a decimal number of k>=2 digits x = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + ... + d_(2)*10 + d_(1) and the transform T(x)-> (d_(k)+d_(k-1) mod 10)*10^(k-1) + (d_(k-1)+d_(k-2) mod 10)*10^(k-2) + ... + (d_(2)+d_(1) mod 10)*10 + (d_(1)+d(k) mod 10). Sequence lists the numbers x such that T(x) divides x.

Terms

    a(0) =66a(1) =374a(2) =464a(3) =550a(4) =646a(5) =648a(6) =666a(7) =828a(8) =2847a(9) =5566a(10) =6468a(11) =6666a(12) =8283a(13) =19142a(14) =37398a(15) =46463a(16) =46464a(17) =46560a(18) =55550a(19) =55660a(20) =64646a(21) =66666a(22) =82029a(23) =373758a(24) =374374a(25) =464464a(26) =464640a(27) =550550a(28) =555500a(29) =646646

External references