This is the semiprime analogue of A030168: continued fraction expansion of Copeland-Erdos constant (concatenated primes). Decimal expression of real number formed from concatenation of first 101 digits of A001358, to first 50 terms of continued fraction expansion: 0.469101415212225... = 0 + 1/2+ 1/7+ 1/1+ 1/1+ 1/2+ 1/4+ 1/26+ 1/1+ 1/4+ 1/1+... It seems likely that the real number itself is transcendental.
CROSSREFS
Cf. A033308 Decimal expansion of Copeland-Erdos constant: concatenate primes.