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A196882
Number of partitions of n^4 into powers of 4.
2
1, 1, 6, 72, 1086, 15076, 182832, 1957192, 18583582, 154252476, 1166493640, 8049232896, 50660059120, 292884155232, 1582952988656, 8045405614080, 38559135542174, 174391413419872, 746859203235976, 3047000304533760, 11915800843394536, 44815994695641600
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OFFSET
0,3
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 0..1000
FORMULA
a(n) = [x^(n^4)] 1/Product_{j>=0}(1-x^(4^j)).
EXAMPLE
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].
CROSSREFS
Column k=4 of
A196879
.
Sequence in context:
A156128
A052678
A052719
*
A289392
A272688
A063965
Adjacent sequences:
A196879
A196880
A196881
*
A196883
A196884
A196885
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, Oct 07 2011
STATUS
approved
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Last modified August 29 18:55 EDT 2024. Contains 375518 sequences. (Running on oeis4.)