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 A187061 Digits of the decimal expansion the constant whose continued fraction expansion is given by (a suffix of) A026465 (just start from the second term): [0;2,1,1,2,2,2,1,1,2,1,1,...]=0.3867499707.... 0
 3, 8, 6, 7, 4, 9, 9, 7, 0, 7, 1, 4, 3, 0, 0, 7, 0, 6, 1, 7, 1, 5, 2, 4, 8, 0, 3, 4, 8, 5, 5, 8, 0, 9, 3, 9, 6, 6, 1, 4, 4, 7, 6, 1, 5, 5, 6, 3, 0, 7, 7, 5, 0, 5, 1, 4, 7, 5, 0, 2, 8, 0, 5, 6, 8, 1, 2, 2, 4, 0, 7, 0, 7, 5, 8, 0, 5, 2, 9, 0, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Since the continued fraction of 0.3867499707... is a sequence which is the fixed point of a substitution, this constant is transcendental. REFERENCES J. Cassaigne, Limit values of the recurrence quotient of Sturmian sequences, Theoret. Comput. Sci. 218 (1999) 3-12. LINKS Claudio Bonanno, Carlo Carminati, Stefano Isola, Giulio Tiozzo, Dynamics of continued fractions and kneading sequences of unimodal maps, arXiv:1012.2131 MAPLE ## period-doubling routine (see A026465): double:=proc(SS) NEW:=[op(S), op(S)]: if op(nops(NEW), NEW)=1 then NEW:=[seq(op(j, NEW), j=1..nops(NEW)-2), op(nops(NEW)-1, NEW)+1]: else NEW:=[seq(op(j, NEW), j=1..nops(NEW)-1), op(nops(NEW)-1, NEW)-1, 1]: fi: end proc: # 10 loops of the above routine generate the first 1365 terms of the sequence S:=[2]: for j from 1 to 10  do S:=double(S); od: ## transform the list S into a continued fraction: Digits:=500; with(numtheory); q:=evalf(invcfrac([[0], S])); ## list of digits: L:=[seq(floor(q*10**j) - 10*floor(q*10**(j-1)), j=1..200)]; CROSSREFS Cf. A026465. Sequence in context: A106291 A137987 A212007 * A020809 A152683 A154199 Adjacent sequences:  A187058 A187059 A187060 * A187062 A187063 A187064 KEYWORD nonn,cons,easy AUTHOR Carlo Carminati, Mar 03 2011 STATUS approved

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Last modified May 18 04:58 EDT 2021. Contains 343994 sequences. (Running on oeis4.)