Partition of Integer into Parts not Multiple of 3

Theorem

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Proof

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Examples

Partition of $4$ into Parts not Multiple of $3$

The integer $4$ can be partitioned into parts which are specifically not multiples of $3$ as follows:

$4$

$2 + 2$

$2 + 1 + 1$

$1 + 1 + 1 + 1$