A106189 Expansion of 1/((1-2x^2)sqrt(1-4x)).
1, 2, 8, 24, 86, 300, 1096, 4032, 15062, 56684, 214880, 818800, 3133916, 12038200, 46384432, 179193920, 693849254, 2691994060, 10462833808, 40729251920, 158772196436, 619716378280, 2421643356592, 9472863484160, 37090890396284
Offset: 0
Formula
a(n)=sum{k=0..floor(n/2), binomial(2(n-2k), n-2k)*2^k}.
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