a regular ^ 2nb ^ m?

is $ {a ^ {2n} b ^ m | 0 leq m <n } ordinary? The speaker said that this was not the case and referred to the pumping lemma, but 2 does not it correspond to the pumping length?

For each $ n> m $ you can choose $ u = epsilon $, $ v = aa $, $ w $ the rest and $ uv ^ iw $ is still in shape $ a ^ {2 (n + i-1)} b ^ m $.

Did I understand the pumping lemma?