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

1,2

Comments

Each term of the sequence ends with the digit 1.

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

Links

Table of n, a(n) for n=1..15.

Example

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

Prog

(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

Crossrefs

Subsequence of A217973 and of A017281.

Sequence in context: A053852 A234074 A175347 * A364412 A003811 A003804

Adjacent sequences: A216402 A216403 A216404 * A216406 A216407 A216408

Keyword

nonn,base

Author

Jack Brennen, Oct 16 2012

Status

approved