A377228 Repdigits which are also Harshad numbers.

1, 2, 3, 4, 5, 6, 7, 8, 9, 111, 222, 333, 444, 555, 666, 777, 888, 999, 111111111, 222222222, 333333333, 444444444, 555555555, 666666666, 777777777, 888888888, 999999999, 111111111111111111111111111, 222222222222222222222222222, 333333333333333333333333333, 444444444444444444444444444

Offset: 1

Author

John Bibby, Oct 20 2024

Keywords

• nonn
• base

Examples

			999 is in the sequence as it is a repdigit (all digits are equal (in base 10)) and 999 is divisible by its sum of digits; 9 + 9 + 9 = 27 is a divisors of 999. - _David A. Corneth_, Oct 20 2024
		

Crossrefs

Intersection of A005349 and A010785.

Cf. A014950.

Programs

Mathematica

Select[Union[FromDigits/@Flatten[Table[PadRight[{}, i, n], {n, 9}, {i, 27}], 1]],Divisible[#,DigitSum[#]]&] (* James C. McMahon, Jan 07 2025 *)

PARI

repd(n) = 10^((n+8)\9)\9*((n-1)%9+1); \\ A010785
lista(nn) = select(x->(x%sumdigits(x)==0), vector(nn, k, repd(k))); \\ Michel Marcus, Jan 07 2025

Extensions

More terms from David A. Corneth, Oct 20 2024