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We present measurements of the branching fractions for the decays
B+/- --> a1(1260)+/- pi0 and
B+/- --> a1(1260)0 pi+/- from a data sample
of 232 * 10^6 BB pairs produced in e+e-
annihilation through the Y(4S) resonance.
We measure the branching fraction
B(B+/- --> a1(1260)+/- pi0) * B(a1(1260)+/- --> pi- pi+ pi+/-) =
(13.2 +/- 2.7 +/- 2.1) * 10^-6
with a significance of 4.2 sigma, and the branching fraction
B(B+/- --> a1(1260)0 pi+/-) * B(a1(1260)0 --> pi- pi+ pi0) =
(20.4 +/- 4.7 +/- 3.4) * 10^-6
with a significance of 3.8 sigma, where the first error quoted is
statistical and the second is systematic.
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