A294106 - OEIS

%I #22 Oct 29 2017 06:43:20

%S 1,3,0,9,27,0,0,0,0,27,81,0,243,729,0,0,0,0,0,0,0,0,0,0,0,0,0,81,243,

%T 0,729,2187,0,0,0,0,2187,6561,0,19683,59049,0,0,0,0,0,0,0,0,0,0,0,0,0,

%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

%N Sum of products of terms in all partitions of 3*n into distinct powers of 3.

%H Seiichi Manyama, <a href="/A294106/b294106.txt">Table of n, a(n) for n = 0..1000</a>

%e n | partitions of 3*n into distinct powers of 3 | a(n)

%e ------------------------------------------------------

%e 1 | 3                                           |  3

%e 2 |                                             |  0

%e 3 | 9                                           |  9

%e 4 | 9 + 3                                       | 27

%Y Cf. A029930, A039966, A294298.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 28 2017