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Number of partitions of n into consecutive parts not divisible by 3.
2

%I #5 May 14 2021 22:38:41

%S 1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,2,1,2,2,2,1,1,1,2,2,2,2,1,2,2,1,1,1,3,

%T 1,3,2,2,1,1,2,2,2,1,2,1,3,3,2,1,1,2,1,3,1,3,1,2,1,3,3,1,2,2,2,2,1,2,

%U 1,2,2,4,1,3,2,1,1,2,4,1,2,1,2,3,1,2,1,3,2,4

%N Number of partitions of n into consecutive parts not divisible by 3.

%e a(34) = 3 because we have [34], [13, 11, 10] and [10, 8, 7, 5, 4].

%Y Cf. A000726, A001227, A001651, A034178, A344319, A344320.

%K nonn

%O 1,7

%A _Ilya Gutkovskiy_, May 14 2021