A216405 Numbers which start a run of nine consecutive zero-digit-free decimal integers, each of which is divisible by the sum of its digits.

1, 142813628717821, 253323932621811, 1234954171531131, 1713763544613181, 3713154346661821, 5953112416611411, 8711631351783421, 11853531183574141, 12191214257422251, 17137635446131261, 19941476493818971, 21342541323383331, 25628491758925521, 28665872459864731

Offset: 1

Author

Jack Brennen, Oct 16 2012

Keywords

• nonn
• base

Comments

Each term of the sequence ends with the digit 1.

No run of ten consecutive zero-digit-free decimal integers is possible.

Examples

			The numbers from a(2)=142813628717821 to 142813628717829 are each divisible by their digit sums, which are 61 to 69 respectively.
		

Crossrefs

Subsequence of A217973 and of A017281.

Programs

PARI

\\ Algorithm from Jack Brennen
list(lim)=my(v=List([1]),m); forstep(d=11, (40320*lim)^(1/9), 10, m=lcm(vector(9,k,d+k-1)); forstep(x=m+d, lim, m, if(sumdigits(x)==d && vecsort(digits(x))[1], listput(v,x)))); vecsort(Vec(v)) \\ Charles R Greathouse IV, Oct 16 2012