A165212 The n-th term in the sequence is the minimal number that has some subset of DPS's that form an n-term arithmetic progression.

1, 4, 72, 1008, 36400

Offset

1,2

Comments

Definition: m is a DPS (divisor pair sum) for n, if m = d + n/d where d | n, and d <= n/d.

Links

Table of n, a(n) for n=1..5.

C. Rivera, Prime Puzzle 413: DPS in AP

Example

72's solution: 3+24, 4+18, 8+9. The difference between terms is 5. (Note: 72 = 3*24 = 4*18 = 8*9)

Crossrefs

Sequence in context: A209539 A139745 A066992 * A263219 A358295 A100521

Adjacent sequences: A165209 A165210 A165211 * A165213 A165214 A165215

Keyword

hard,nonn

Author

Fred Schneider, Sep 08 2009

Status

approved