

A114328


Number of partitions p of n such that max(p) does not exceed the square of min(p).


1



1, 2, 2, 3, 3, 5, 4, 7, 7, 10, 10, 15, 14, 20, 22, 28, 30, 40, 42, 54, 59, 72, 80, 101, 109, 132, 149, 177, 197, 237, 261, 309, 348, 405, 455, 532, 591, 685, 772, 887, 992, 1142, 1274, 1458, 1635, 1857, 2078, 2366, 2636, 2985
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OFFSET

1,2


LINKS

Fausto A. C. Cariboni, Table of n, a(n) for n = 1..300


EXAMPLE

a(6)=5 since 6 has the following 5 partitions {6}, {4,2}, {3,3}, {2,2,2}, {1,1,1,1,1,1} with max(p)<=min(p)^2.


CROSSREFS

Cf. A000041.
Sequence in context: A036825 A035574 A036819 * A275234 A097366 A139807
Adjacent sequences: A114325 A114326 A114327 * A114329 A114330 A114331


KEYWORD

nonn


AUTHOR

Giovanni Resta, Feb 06 2006


STATUS

approved



