A308072 Numbers k such that k is the substring identical to the most significant digits of its base-9 representation.

0, 1, 2, 3, 4, 5, 6, 7, 8, 1066338786883726756382, 1066338787045067082685, 1066338805156287287066, 1066338805156287287067, 1066338805156287300050, 1066338805156301216066, 1066341132816741837214, 1070235882243468707818, 1070235882243470056412, 1070236076684636644063

Offset

1,3

Comments

Numbers k whose base-9 representation begins with the same digits as k itself.

Links

Scott R. Shannon, Table of n, a(n) for n = 1..500

Example

1066338786883726756382_10 = 10663387868837267563825_9, which also begins with '1066338786883726756382'.

Prog

(PARI) isok(n) = my(vb=digits(n, 9), vd=digits(n)); vd == vector(#vd, k, vb[k]); \\ Michel Marcus, May 17 2019

Crossrefs

This is a subsequence of A228052.

See A181929, A307254, A307255, A307256, A307257, A308070, A308071 for other bases.

Sequence in context: A004914 A243369 A228052 * A084689 A374323 A021085

Adjacent sequences: A308069 A308070 A308071 * A308073 A308074 A308075

Keyword

nonn,base

Author

Scott R. Shannon, May 11 2019

Status

approved