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A196882 Number of partitions of n^4 into powers of 4. 2

%I #7 Mar 30 2012 17:37:35

%S 1,1,6,72,1086,15076,182832,1957192,18583582,154252476,1166493640,

%T 8049232896,50660059120,292884155232,1582952988656,8045405614080,

%U 38559135542174,174391413419872,746859203235976,3047000304533760,11915800843394536,44815994695641600

%N Number of partitions of n^4 into powers of 4.

%H Alois P. Heinz, <a href="/A196882/b196882.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = [x^(n^4)] 1/Product_{j>=0}(1-x^(4^j)).

%e a(2) = 6, because there are 6 partitions of 2^4=16 into powers of 4: [16], [4,4,4,4], [1,1,1,1,4,4,4], [1,1,1,1,1,1,1,1,4,4], [1,1,1,1,1,1,1,1,1,1,1,1,4], [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1].

%Y Column k=4 of A196879.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Oct 07 2011

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Last modified April 24 19:59 EDT 2024. Contains 371963 sequences. (Running on oeis4.)