A334249 Numbers k such that (k - digitsum(k))(k + digitsum(k)) contains k as a substring.

11, 88, 101, 448, 673, 776, 1001, 2879, 3553, 9537, 10001, 14651, 36559, 49056, 51073, 54116, 59600, 100001, 505025, 998999, 1000001, 4115964, 5050250, 5133355, 10000001, 10050125, 19349727, 26550976, 33726078, 35792647, 42349456, 43605459, 50050025, 66952741, 88027284, 88819024, 100000001, 105124922

Offset

1,1

Comments

All numbers of the form 10^n + 1 (for n > 0) are in the sequence.

Links

Giovanni Resta, Table of n, a(n) for n = 1..95

Example

11 is a term as digitsum(11) = 2 and (11 - 2)(11 + 2) = 117, which contains '11' as a substring.
9537 is a term as digitsum(9537) = 24 and (9537 - 24)(9537 + 24) = 90953793, which contains '9537' as a substring.

Crossrefs

Cf. A007953, A257784, A125526, A082208, A225780.

Sequence in context: A119383 A001278 A125304 * A192827 A381148 A022735

Adjacent sequences: A334246 A334247 A334248 * A334250 A334251 A334252

Keyword

nonn,base,less

Author

Scott R. Shannon, May 05 2020

Status

approved