2
$\begingroup$

If this question is dumb please excuse me.

Does this type of partition have a name and if so, what is it?

A sequence of partitions of an integer $\vec{\lambda}_1, \vec{\lambda}_2,....\vec{\lambda}_j $ such that the tuple of weights $(|\vec{\lambda}_1|,|\vec{\lambda}_2|,.... |\vec{\lambda}_j|)$ forms a partition of a fixed integer $n.$

$\endgroup$
2
  • $\begingroup$ You might be thinking of plane partition. See my blog post aquazorcarson.wordpress.com/2011/02/25/… $\endgroup$
    – John Jiang
    Mar 9, 2011 at 17:12
  • 2
    $\begingroup$ This doesn't seem like a plane partition; for example, $\lambda_1 = (1,1,1), \lambda_2 = (2)$ would satisfy his definition, but it isn't a plane partition... $\endgroup$
    – Simon Rose
    Mar 9, 2011 at 18:16

1 Answer 1

3
$\begingroup$

These are counted in OEIS A001970 where they are called "partitions of partitions" along with some other interpretations. As Simon noted, they do differ from the more-studied plane partitions.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.