A134942 Numbers n such that there exists no number k with k-P(k) = n, where P(k) is the product of digits of k written in base 10.

1, 2, 3, 4, 5, 6, 7, 8, 21, 23, 27, 29, 32, 33, 36, 39, 41, 43, 44, 47, 48, 49, 51, 53, 54, 56, 57, 61, 62, 63, 65, 67, 68, 69, 71, 72, 75, 76, 77, 78, 79, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 121, 123, 127, 129, 132, 133, 136, 139, 141, 143

Offset

1,2

Comments

Obviously no number containing a zero digit is in the sequence.

Links

Table of n, a(n) for n=1..69.

Example

For 0 <= p <= 9, p - P(p) = 0, hence 0 is in the sequence.
It's easy to see that if p has 2 digits or more the difference p - P(p) has at least 2 digits, hence 1 to 9 are in the sequence.

Crossrefs

Sequence in context: A366947 A366838 A236836 * A371260 A215888 A240963

Adjacent sequences: A134939 A134940 A134941 * A134943 A134944 A134945

Keyword

easy,nonn,base

Author

Philippe Lallouet (philip.lallouet(AT)orange.fr), Feb 01 2008

Status

approved