A293871 Numbers having 11 as substring of their digits.

11, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 211, 311, 411, 511, 611, 711, 811, 911, 1011, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Index entries for 10-automatic sequences

Formula

a(n) ~ n. - Charles R Greathouse IV, Nov 02 2022

Mathematica

Select[Range[2000], StringContainsQ[IntegerString[#], "11"] &] (* Paolo Xausa, Feb 25 2024 *)

Prog

(PARI) is_A293871 = has(n, p=11, m=10^#Str(p))=until(p>n\=10, n%m==p&&return(1))

Crossrefs

Row 11 of A292690 and A293869.

Cf. A292451, A292731 (both partially coincide with this sequence, but no inclusion relation holds).

Cf. A011540, A011531, A011532, A011533, A011534, A011535, A011536, A011537, A011538, A011539: analog for substrings '0' through '9'.

Cf. A293870, A293872, A293873, A293874, A293875, A293876, A293877, A293878, A293879, A293880: same for substrings '10' - '20'.

Cf. A121031: subsequence of terms divisible by 11.

Numbers divisible by k and having k as a substring: A121022 (2), A121023 (3), A121024 (4), A121025 (5), A121026 (6), A121027 (7), A121028 (8), A121029 (9), A121030 (10), A121031 (11), A121032 (12), A121033 (13), A121034 (14), A121035 (15), A121036 (16), A121037 (17), A121038 (18), A121039 (19), A121040 (20).

Cf. A121041.

Sequence in context: A308005 A280855 A103542 * A336880 A211968 A284040

Adjacent sequences: A293868 A293869 A293870 * A293872 A293873 A293874

Keyword

nonn,base,easy

Author

M. F. Hasler, Oct 18 2017

Status

approved