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A114328 Number of partitions p of n such that max(p) does not exceed the square of min(p). 1

%I #6 Jan 27 2021 08:24:16

%S 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,

%T 132,149,177,197,237,261,309,348,405,455,532,591,685,772,887,992,1142,

%U 1274,1458,1635,1857,2078,2366,2636,2985

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

%H Fausto A. C. Cariboni, <a href="/A114328/b114328.txt">Table of n, a(n) for n = 1..300</a>

%e 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.

%Y Cf. A000041.

%K nonn

%O 1,2

%A _Giovanni Resta_, Feb 06 2006

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Last modified August 10 19:24 EDT 2024. Contains 375058 sequences. (Running on oeis4.)