A225066 Least hexagonal number that is the product of n hexagonal numbers greater than 1.

6, 2850, 79800, 2162160, 134734320, 15518903400, 174626020800, 19794628854000, 659394533191680, 659394533191680, 659394533191680, 38022361747469489295360

Offset: 1

Author

T. D. Noe, May 01 2013

Keywords

• nonn
• more

Examples

			Let hex(n) = n*(2n-1). Then
a(1) = 6 = hex(2).
a(2) = 2850 = hex(38) = hex(3) * hex(10).
a(3) = 79800 = hex(200) = hex(3) * hex(4) * hex(10).
a(4) = 2162160 = hex(1040) = hex(2)^2 * hex(4) * hex(33).
a(5) = 134734320 = hex(8208) = hex(2)^2 * hex(3) * hex(4) * hex(67).
a(6) = 15518903400 = hex(88088) = hex(2) * hex(3) * hex(6)^2 * hex(7) * hex(15).
		

Links

• Lars Blomberg, Table of n, a(n) with solutions for n=1..12

Crossrefs

Cf. A000384 (hexagonal numbers).

Cf. A212616, A212617, A225066-A225070 (3-, 5- to 10-gonal cases).

Extensions

Corrected a(6) and added a(7)-a(12) by Lars Blomberg, Sep 21 2013