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 A061145 Sum of continued fraction terms in Sum_{k=1..n}(1/k^2). 0
 1, 5, 10, 13, 26, 44, 53, 37, 47, 58, 60, 80, 198, 78, 115, 93, 206, 271, 1583, 144, 278, 235, 148, 185, 913, 366, 185, 215, 500, 251, 1002, 2127, 8704, 539, 546, 307, 636, 278, 3326, 290, 386, 665, 694, 313, 422, 364, 498, 455, 967, 748, 460, 731, 484, 1496, 2005 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..55. EXAMPLE 1 + 1/2^2 + 1/3^2 = 49/36 = 1 + 1/(2 + 1/(1 + 1/(3 + 1/3))). So a(3) = 1 + 2 + 1 + 3 + 3 = 10. MATHEMATICA Table[Sum[ContinuedFraction[Sum[1/i^2, {i, 1, n}]][[j]], {j, 1, Length[ContinuedFraction[Sum[1/i^2, {i, 1, n}]]]}], {n, 1, 80}] (* Stefan Steinerberger, Mar 24 2006 *) CROSSREFS Sequence in context: A309593 A272267 A195735 * A345261 A321558 A328667 Adjacent sequences: A061142 A061143 A061144 * A061146 A061147 A061148 KEYWORD easy,nonn AUTHOR Leroy Quet, May 29 2001 EXTENSIONS More terms from Stefan Steinerberger, Mar 24 2006 STATUS approved

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Last modified May 20 08:05 EDT 2024. Contains 372703 sequences. (Running on oeis4.)