Numbers m with the following property. Suppose m = d1 d2 ... dk in base 10. Construct the sequence with first term d1 and successive differences d1 d2 ... dk d1 d2 ... dk d1 d2 ...; then this sequence has as its initial k digits d1 d2 ... dk and also contains the number m.

A107070

Numbers m with the following property. Suppose m = d1 d2 ... dk in base 10. Construct the sequence with first term d1 and successive differences d1 d2 ... dk d1 d2 ... dk d1 d2 ...; then this sequence has as its initial k digits d1 d2 ... dk and also contains the number m.

Terms

    a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =6a(6) =7a(7) =8a(8) =9a(9) =61a(10) =71a(11) =918a(12) =3612a(13) =5101a(14) =8161a(15) =12481a(16) =51011a(17) =248161a(18) =361213a(19) =5101111a(20) =7141519a(21) =8161723a(22) =481617232a(23) =2481617232a(24) =4816172324a(25) =5101111121a(26) =24816172324a(27) =51011111213a(28) =71415192025a(29) =612131516192

External references