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A036466 If n = Sum_{i} b(i)^2 (i.e., a partition of n into squares), then a(n) is the smallest possible value of the largest multiplicity of the b(i). 0

%I #10 Nov 03 2020 23:43:24

%S 1,2,3,1,1,2,3,2,1,1,2,3,1,1,2,1,1,2,2,1,1,2,2,2,1,1,2,2,1,1,2,2,2,1,

%T 1,1,1,1,1,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,

%U 1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1

%N If n = Sum_{i} b(i)^2 (i.e., a partition of n into squares), then a(n) is the smallest possible value of the largest multiplicity of the b(i).

%e a(12)=3 since 12 = 2^2 + 2^2 + 2^2 = 3^2 + 1^2 + 1^2 + 1^2 and 3 of the same square are needed.

%K nonn

%O 1,2

%A _Erich Friedman_

%E a(2) and a(3) corrected and title improved by _Sean A. Irvine_, Nov 03 2020

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