A121669 Numbers with sum of digits = 19, divisible by 19 and containing the string "19".

17119, 19171, 19342, 19513, 20197, 21907, 33193, 34219, 41914, 51319, 61921, 101935, 102619, 112195, 119035, 119206, 121942, 125191, 171019, 171190, 190171, 190342, 190513, 191026, 191710, 192052, 192223, 193420, 194104, 195130, 195301, 197011, 201970, 204193

Offset

1,1

Comments

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

Links

Chai Wah Wu, Table of n, a(n) for n = 1..12794 (all terms < 10^11)

Mathematica

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 *)

Prog

(Python)
def ok(n): s = str(n); return n%19==0 and '19' in s and sum(map(int, s))==19
print(list(filter(ok, range(205000)))) # Michael S. Branicky, Aug 06 2021

Crossrefs

Intersection of A008601, A166459 and A293879.

Sequence in context: A233611 A233610 A361349 * A247697 A218247 A235891

Adjacent sequences: A121666 A121667 A121668 * A121670 A121671 A121672

Keyword

nonn,base

Author

Hassan Taifour (hytaifour(AT)yahoo.co.uk), Sep 10 2006

Extensions

More terms from Zak Seidov, Sep 12 2006

Status

approved