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A196889 Number of partitions of 2^n into powers of n. 2
1, 1, 4, 3, 6, 9, 16, 36, 85, 210, 586, 1914, 6930, 28178, 125440, 603350, 3083410, 17362239, 112403052, 820563290, 6632950912, 58209665965, 544071039000, 5353538904357, 58523908575096, 730174875609318, 10274727352967428, 159586345364505768 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..150

FORMULA

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

EXAMPLE

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

CROSSREFS

Row n=2 of A196879.

Sequence in context: A016702 A198610 A128754 * A005522 A276202 A215336

Adjacent sequences:  A196886 A196887 A196888 * A196890 A196891 A196892

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2011

STATUS

approved

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Last modified December 7 06:09 EST 2021. Contains 349567 sequences. (Running on oeis4.)