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A196880 Number of partitions of n^2 into powers of 2. 2
1, 1, 4, 10, 36, 94, 284, 692, 1828, 4124, 9828, 20798, 45564, 91018, 186788, 355906, 692004, 1264678, 2347716, 4138358, 7389572, 12625938, 21804900, 36243644, 60777212, 98547380, 160987868, 255297602, 407492292, 633469718, 990388828, 1512185428, 2320518948 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..5000

FORMULA

a(n) = [x^(n^2)] 1/Product_{j>=0}(1-x^(2^j)).

EXAMPLE

a(3) = 10, because there are 10 partitions of 3^2=9 into powers of 2: [1,8], [1,4,4], [1,2,2,4], [1,1,1,2,4], [1,1,1,1,1,4], [1,2,2,2,2], [1,1,1,2,2,2], [1,1,1,1,1,2,2], [1,1,1,1,1,1,1,2], [1,1,1,1,1,1,1,1,1].

CROSSREFS

Column k=2 of A196879.

Sequence in context: A204270 A287220 A220205 * A088013 A149179 A149180

Adjacent sequences:  A196877 A196878 A196879 * A196881 A196882 A196883

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2011

STATUS

approved

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Last modified July 10 16:22 EDT 2020. Contains 335577 sequences. (Running on oeis4.)