A346904 Numbers with sum of digits equaling 17, divisible by 17, and containing the string "17".

13175, 15317, 17153, 17306, 17612, 21743, 30617, 41174, 51731, 61217, 101762, 107117, 110177, 111707, 117062, 117215, 117521, 122417, 125171, 131750, 153017, 153170, 170153, 170306, 170612, 171071, 171224, 171530, 172142, 172601, 173060, 173213, 174131, 175202, 176120, 214217

Offset: 1

Author

Tanya Khovanova, Aug 06 2021

Keywords

• nonn
• base

Examples

			13175 contains 17 as a substring; the sum of digits of 13175 is 17, and 13175 is divisible by 17. Thus, 13175 is in this sequence.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..14300 (all terms < 10^11)

Crossrefs

Cf. A121669 (for 19 instead of 17).

Intersection of A008599, A166370, and A293877

Programs

Mathematica

d17Q[n_] := Module[{idn = IntegerDigits[n]}, Total[idn] == 17 && MemberQ[Partition[idn, 2, 1], {1, 7}]]; Select[17*Range[20000], d17Q]

Python

def ok(n): s = str(n); return n%17==0 and '17' in s and sum(map(int, s))==17
print(list(filter(ok, range(214218)))) # Michael S. Branicky, Aug 06 2021