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 A070899 a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n. 0
 1, 6, 13, 16, 49, 71, 124, 188, 298, 326, 333, 354, 440, 797, 832, 954, 1006, 1040, 1280, 1319, 1414, 2038, 2113, 2231, 2291, 2924, 2973, 3107, 3983, 3984, 4331, 4605, 4763, 5756, 6314, 6325, 6402, 7501, 7967, 8073, 8143, 8895, 9567, 9900, 10333 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS sum(k=>1,1/a(k))=C=1.3... LINKS Table of n, a(n) for n=1..45. EXAMPLE The continued fraction for S(7)=1+1/6+1/13+1/16+1/49+1/71+1/124 is [1, 2, 1, 6, 1, 1, 2, 3, 3, 1, 21, 1, 1, 3, 1, 3, 18, 3] where the largest element is 21=3*7 and 124 is the smallest integer > a(6)=71 with this property, hence a(7)=124. PROG (PARI) s=1; t=1; for(n=1, 60, s=s+1/t; while(abs(3*n-vecmax(contfrac(s+1/t)))>0, t++); print1(t, ", ")) CROSSREFS Sequence in context: A053753 A228380 A090068 * A265756 A332988 A333011 Adjacent sequences: A070896 A070897 A070898 * A070900 A070901 A070902 KEYWORD easy,nonn AUTHOR Benoit Cloitre, May 19 2002 STATUS approved

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Last modified September 10 16:36 EDT 2024. Contains 375791 sequences. (Running on oeis4.)
The text passage is a detailed description of a specific integer sequence from the Online Encyclopedia of Integer Sequences (OEIS), including its definition, examples, and a PARI program to generate the sequence.
no_question

the passage does not contain any explicit mathematical question or request for a calculation. it is purely descriptive and provides information about the sequence a070899.
Given a text passage, determine:
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    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
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The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A070899 a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n. 0
 1, 6, 13, 16, 49, 71, 124, 188, 298, 326, 333, 354, 440, 797, 832, 954, 1006, 1040, 1280, 1319, 1414, 2038, 2113, 2231, 2291, 2924, 2973, 3107, 3983, 3984, 4331, 4605, 4763, 5756, 6314, 6325, 6402, 7501, 7967, 8073, 8143, 8895, 9567, 9900, 10333 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS sum(k=>1,1/a(k))=C=1.3... LINKS Table of n, a(n) for n=1..45. EXAMPLE The continued fraction for S(7)=1+1/6+1/13+1/16+1/49+1/71+1/124 is [1, 2, 1, 6, 1, 1, 2, 3, 3, 1, 21, 1, 1, 3, 1, 3, 18, 3] where the largest element is 21=3*7 and 124 is the smallest integer > a(6)=71 with this property, hence a(7)=124. PROG (PARI) s=1; t=1; for(n=1, 60, s=s+1/t; while(abs(3*n-vecmax(contfrac(s+1/t)))>0, t++); print1(t, ", ")) CROSSREFS Sequence in context: A053753 A228380 A090068 * A265756 A332988 A333011 Adjacent sequences: A070896 A070897 A070898 * A070900 A070901 A070902 KEYWORD easy,nonn AUTHOR Benoit Cloitre, May 19 2002 STATUS approved

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Last modified September 10 16:36 EDT 2024. Contains 375791 sequences. (Running on oeis4.)
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The text passage is a detailed description of a specific integer sequence from the Online Encyclopedia of Integer Sequences (OEIS), including its definition, examples, and a PARI program to generate the sequence.

TYPE: NO_QUESTION

The passage does not contain any explicit mathematical question or request for a calculation. It is purely descriptive and provides information about the sequence A070899.