A272029 Least number k > n such that the multiplicative and additive digital roots of k are both equal to n.

1111111111, 137, 1111111113, 22, 1157, 123, 1111111117, 179, 11133

Offset

1,1

Comments

Sequence is trivially finite by definition.

How is the distribution of corresponding digital roots in A064702? This sequence is the result of related observation in limited range.

Links

Table of n, a(n) for n=1..9.

Example

a(5) = 1157 because 1+1+5+7 = 14, 1+4 = 5 and 1*1*5*7 = 35, 3*5 = 15, 1*5 = 5. 1157 is the least number that is greater than 5 with this property.

Crossrefs

Cf. A010888, A031347, A064702.

Sequence in context: A154474 A096553 A104924 * A095425 A038452 A261510

Adjacent sequences: A272026 A272027 A272028 * A272030 A272031 A272032

Keyword

nonn,easy,base,fini,full

Author

Altug Alkan, Jul 13 2016

Status

approved