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Search: id:A049457
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| A049457 |
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Least positive integer k such that the number having periodic continued fraction [ 1,m,1,m,1,m,... ] is of form (a+b*sqrt(k))/c, where a,b,c are positive integers. |
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+0
1
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| 5, 3, 21, 2, 5, 15, 77, 6, 13, 35, 165, 3, 221, 7, 285, 5, 357, 11, 437, 30, 21, 143, 69, 42, 29, 195, 93, 14, 957, 255, 1085, 2, 1221, 323, 1365, 10, 1517, 399, 1677, 110, 205, 483, 2021, 33, 5, 23, 2397, 39, 53, 3, 2805, 182, 3021, 87, 3245, 210, 3477, 899, 413
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Squarefree factors of k^2+2k-3. - Artur Jasinski (grafix(AT)csl.pl), May 19 2008
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FORMULA
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Least positive integer of the form m(m+4)/(w^2), where m and w are positive integers.
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PROGRAM
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(PARI) a(n)=if(n<1, 0, core(n^2+4*n))
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CROSSREFS
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Sequence in context: A073845 A092525 A101367 this_sequence A061037 A070262 A084183
Adjacent sequences: A049454 A049455 A049456 this_sequence A049458 A049459 A049460
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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More terms from Michael Somos, Oct 28, 2002
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