A154562 Positive integers n such that the sum of the squares of all the substring decompositions of n is a multiple of n.

1, 2, 3, 4, 5, 6, 7, 8, 9, 101, 202, 233, 303, 351, 404, 427, 466, 505, 606, 699, 707, 808, 909, 1252, 2068, 5050, 10001, 19247, 20002, 30003, 40004, 50005, 60006, 70007, 80008, 90009, 319519, 500050

Offset

1,2

Comments

No other term, between 500051 and 1000000, but integers such as 1000001, 2000002, 3000003, ..., or 50000050 will be in the sequence.

Links

Table of n, a(n) for n=1..38.

Example

Example : 101 is in the sequence, because 0^2 + 1^2 + 10^2 + 101^2 = 10302 = 102*101
Example : 351 is in the sequence, because 1^2 + 3^2 + 5^2 + 35^2 + 51^2 + 351^2 = 127062 = 362*351

Crossrefs

Sequence in context: A207954 A193412 A266139 * A193409 A280823 A367342

Adjacent sequences: A154559 A154560 A154561 * A154563 A154564 A154565

Keyword

base,nonn

Author

Jean-Marc Falcoz, Jan 12 2009

Status

approved