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A214034 The apparition sequence for 2,4 continued fractions. 1
1, 2, 3, 3, 5, 7, 7, 2, 3, 5, 11, 13, 7, 11, 15, 8, 5, 8, 3, 23, 5, 21, 23, 19, 13, 8, 7, 27, 11, 31, 31, 5, 17, 7, 11, 37, 17, 41, 7, 20, 23, 20, 11, 11, 21, 45, 47, 7, 19, 8, 27, 51, 17, 11, 7, 8, 27, 14, 11, 61 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A214030 for an explanation. There seems to be no corresponding linear recurrence.

LINKS

Table of n, a(n) for n=1..60.

PROG

(PARI)

{a24(n)=local(t, m=1, s=[n]); if(n<2, 0, while(1,

if(m%2, s=concat(s, 2), s=concat(s, 4));

t=contfracpnqn(concat(s, n));

t=contfrac(n*t[1, 1]/t[2, 1]);

if(t[1]<n^2||t[#t]<n^2, m++, break)); m)};

//To print out the sequence A214034//

for(i=2, 70, print1(a24(i), ", "))

CROSSREFS

Cf. A214030.

Sequence in context: A086786 A211890 A231406 * A047844 A081217 A320036

Adjacent sequences:  A214031 A214032 A214033 * A214035 A214036 A214037

KEYWORD

nonn

AUTHOR

Art DuPre, Jul 21 2012

STATUS

approved

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Last modified January 17 15:12 EST 2020. Contains 330958 sequences. (Running on oeis4.)