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%I #22 Oct 13 2022 12:28:49
%S 17119,19171,19342,19513,20197,21907,33193,34219,41914,51319,61921,
%T 101935,102619,112195,119035,119206,121942,125191,171019,171190,
%U 190171,190342,190513,191026,191710,192052,192223,193420,194104,195130,195301,197011,201970,204193
%N Numbers with sum of digits = 19, divisible by 19 and containing the string "19".
%C Conjecture: There are approximately k(n-1)(n-2)^(n-2) terms of this sequence up to 10^n, where k is about e/(19e-19). - _Charles R Greathouse IV_, Oct 13 2022
%H Chai Wah Wu, <a href="/A121669/b121669.txt">Table of n, a(n) for n = 1..12794</a> (all terms < 10^11)
%t d19Q[n_]:=Module[{idn=IntegerDigits[n]},Total[idn]==19&&MemberQ[ Partition[ idn,2,1],{1,9}]]; Select[19*Range[20000],d19Q] (* _Harvey P. Dale_, Jun 10 2014 *)
%o (Python)
%o def ok(n): s = str(n); return n%19==0 and '19' in s and sum(map(int, s))==19
%o print(list(filter(ok, range(205000)))) # _Michael S. Branicky_, Aug 06 2021
%Y Intersection of A008601, A166459 and A293879.
%K nonn,base
%O 1,1
%A Hassan Taifour (hytaifour(AT)yahoo.co.uk), Sep 10 2006
%E More terms from _Zak Seidov_, Sep 12 2006
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