A252480 Numbers whose decimal representation has at least one '0' digit in a position other than the final digit.

100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 600, 601, 602, 603, 604, 605, 606

Offset: 1

Author

M. F. Hasler, Dec 28 2014

Keywords

• nonn
• easy
• base

Comments

Similar but different sequences are the "Cyclops numbers" A134808 and A032945 and A051022, which are subsequences, except for the 1- and 2-digit terms.

Also, numbers whose decimal representation cannot be split up between any two digits without producing a string with a leading zero (other than "0" itself).

Also, numbers n > 9 such that floor(n/10) is in A011540, i.e., has a digit '0'.

Links

• M. F. Hasler, Table of n, a(n) for n = 1..10000
• Index entries for 10-automatic sequences.

Programs

Mathematica

Select[Range[10,700],DigitCount[Floor[#/10],10,0]>0&] (* Harvey P. Dale, May 10 2020 *)

PARI

is(n)=n>9 && !vecmin(digits(n\10))