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A294850 Number of compositions (ordered partitions) of 1 into exactly 2*n+1 powers of 1/3. 2
1, 1, 10, 217, 8317, 487630, 40647178, 4561368175, 663134389930, 121218250616173, 27212315953140892, 7359774260167595035, 2360287411461166320775, 885627663284464131142801, 384376149675044501884907410, 191068288010770323577312291141 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

FORMULA

a(n) = [x^(3^n)] (Sum_{j=0..2*n+1} x^(3^j))^(2*n+1).

EXAMPLE

a(0) = 1: [1].

a(1) = 1: [1/3,1/3,1/3].

a(2) = 10: [1/3,1/3,1/9,1/9,1/9], [1/3,1/9,1/3,1/9,1/9], [1/3,1/9,1/9,1/3,1/9], [1/3,1/9,1/9,1/9,1/3], [1/9,1/3,1/3,1/9,1/9], [1/9,1/3,1/9,1/3,1/9], [1/9,1/3,1/9,1/9,1/3], [1/9,1/9,1/3,1/3,1/9], [1/9,1/9,1/3,1/9,1/3], [1/9,1/9,1/9,1/3,1/3].

CROSSREFS

Column k=2 of A294746.

Sequence in context: A002967 A243476 A305107 * A259189 A326208 A007698

Adjacent sequences:  A294847 A294848 A294849 * A294851 A294852 A294853

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 09 2017

STATUS

approved

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Last modified June 20 10:13 EDT 2019. Contains 324234 sequences. (Running on oeis4.)