A076172 Triangular numbers with a triangular number of divisors which set a new record for number of divisors.

1, 28, 496, 2016, 41616, 270480, 7874496, 100472400, 3877678080, 103796842500, 171463387200, 1321327507500, 152393548836372480, 583286403740040000, 1900657247182848000, 9130869247932432000000

Offset

1,2

Comments

No more terms < 8.7*10^14. - David Wasserman, Apr 25 2005

a(17) <= 2474502187869188605771776000. - Donovan Johnson, Feb 28 2012

Links

Table of n, a(n) for n=1..16.

Example

d(41616) = 45, d(270480) = 120.

Crossrefs

Sequence in context: A140107 A028170 A211677 * A004336 A079598 A212302

Adjacent sequences: A076169 A076170 A076171 * A076173 A076174 A076175

Keyword

more,nonn

Author

Jason Earls, Nov 01 2002

Extensions

More terms from David Wasserman, Apr 25 2005

a(13)-a(15) from Donovan Johnson, Apr 26 2011

a(16) from Donovan Johnson, Feb 28 2012

Status

approved