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A196890 Number of partitions of 3^n into powers of n. 2
1, 1, 10, 23, 72, 335, 2220, 19166, 217862, 3428059, 71688050, 1884401480, 63363038340, 2929516409504, 178211319638172, 13290584617658383, 1240111930777216192, 158642776309162956097, 26642849845285577276244, 5432337767302682299726906 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100

FORMULA

a(n) = [x^(3^n)] 1/Product_{j>=0}(1-x^(n^j)) for n>1.

EXAMPLE

a(2) = 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

Row n=3 of A196879.

Sequence in context: A219940 A164578 A219472 * A219383 A250188 A177126

Adjacent sequences:  A196887 A196888 A196889 * A196891 A196892 A196893

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2011

STATUS

approved

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Last modified October 19 23:51 EDT 2021. Contains 348095 sequences. (Running on oeis4.)