

A330376


Irregular triangle read by rows: T(n,k) is the total number of parts in all partitions of n with Durfee square of size k (n>=1; 1<=k<=floor(sqrt(n))).


0




OFFSET

1,2


LINKS

Table of n, a(n) for n=1..9.
Eric Weisstein's World of Mathematics, Durfee Square


EXAMPLE

Triangle begins:
1;
3;
6;
10, 2;
15, 5;
21, 14;


CROSSREFS

Row sums give A006128, n >= 1.
Column 1 gives A000217, n >= 1.
Cf. A114089, A115721, A115722, A115994, A116858, A118198, A208474, A330369, A330640, A330641, A330642, A330643.
Cf. A330369.
Sequence in context: A194047 A194035 A194049 * A120028 A333611 A329153
Adjacent sequences: A330373 A330374 A330375 * A330377 A330378 A330379


KEYWORD

nonn,tabf,more


AUTHOR

Omar E. Pol, Dec 22 2019


STATUS

approved



