903 B
903 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4e51000cf542c50fff8 | Problem 377: Sum of digits, experience 13 | 5 | 302039 | problem-377-sum-of-digits-experience-13 |
--description--
There are 16 positive integers that do not have a zero in their digits and that have a digital sum equal to 5, namely:
5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111 and 11111.
Their sum is 17891.
Let f(n)
be the sum of all positive integers that do not have a zero in their digits and have a digital sum equal to n
.
Find \displaystyle\sum_{i=1}^{17} f(13^i)
. Give the last 9 digits as your answer.
--hints--
experience13()
should return 732385277
.
assert.strictEqual(experience13(), 732385277);
--seed--
--seed-contents--
function experience13() {
return true;
}
experience13();
--solutions--
// solution required