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Search: id:A010515
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| A010515 |
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Decimal expansion of square root of 62. |
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+0
2
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| 7, 8, 7, 4, 0, 0, 7, 8, 7, 4, 0, 1, 1, 8, 1, 1, 0, 1, 9, 6, 8, 5, 0, 3, 4, 4, 4, 8, 8, 1, 2, 0, 0, 7, 8, 6, 3, 6, 8, 1, 0, 8, 6, 1, 2, 2, 0, 2, 0, 8, 5, 3, 7, 9, 4, 5, 9, 8, 8, 4, 2, 5, 5, 0, 3, 1, 3, 7, 6, 0, 8, 4, 6, 8, 1, 7, 6, 9, 8, 0, 5, 6, 9, 2, 6, 1, 9, 1, 3, 5, 1, 2, 4, 8, 7, 4, 6, 8, 8, 9, 9, 2, 7, 4, 5
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sqrt(62) = 787400 * sum_{n=0...infinity} (A001790(n)/2^A005187(floor(n/2)) * 10^(-6n-5)) where A001790(n) are numerators in expansion of 1/sqrt(1-x) and the denominators in expansion of 1/sqrt(1-x) are 2^A005187(n). 786400 = 62*12700, see A020819 (expansion of 1/sqrt(62)). - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jan 01 2005
Continued fraction expansion is 7 followed by {1, 6, 1, 14} repeated. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
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EXAMPLE
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7.874007874011811019685034448812007863681086122020853794598842550313760... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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PROGRAM
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(PARI) { default(realprecision, 20080); x=sqrt(62); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010515.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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CROSSREFS
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Cf. A001790, A005187, A020819.
Cf. A010146 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
Sequence in context: A088660 A020506 A055060 this_sequence A021131 A021931 A100264
Adjacent sequences: A010512 A010513 A010514 this_sequence A010516 A010517 A010518
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009
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