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A293870 Numbers having '10' as substring of their digits. 12

%I #23 Feb 21 2024 01:49:43

%S 10,100,101,102,103,104,105,106,107,108,109,110,210,310,410,510,610,

%T 710,810,910,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,

%U 1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031

%N Numbers having '10' as substring of their digits.

%C Row 10 of A292690 and A293869.

%H <a href="/index/Ar#10-automatic">Index entries for 10-automatic sequences</a>

%F a(n) ~ n. - _Charles R Greathouse IV_, Nov 02 2022

%t Select[Range[1100],SequenceCount[IntegerDigits[#],{1,0}]>0&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Mar 07 2019 *)

%o (PARI) is_A293870 = has(n, p=10, m=10^#Str(p))=until(p>n\=10, n%m==p&&return(1))

%Y Cf. A292690, A293869.

%Y Cf. A011540, A011531, A011532, A011533, A011534, A011535, A011536, A011537, A011538, A011539: analog for '0' - '9'.

%Y Cf. A293871, A293872, A293873, A293874, A293875, A293876, A293877, A293878, A293879, A293880: same for '11' - '20'.

%Y Cf. A121041, A121022, A121023, A121024, A121025, A121026, A121027, A121028, A121029, A121030, A121031, A121032, A121033, A121034, A121035, A121036, A121037, A121038, A121039, A121040: subsequences of the above, containing only multiples of the pattern p.

%K nonn,base,easy

%O 1,1

%A _M. F. Hasler_, Oct 18 2017

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Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)