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Search: id:A025550
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| A025550 |
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(1/1 + 1/3 + ... + 1/(2n-1))*LCM{1,3,5,...,2n-1}. |
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+0
7
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| 1, 4, 23, 176, 563, 6508, 88069, 91072, 1593269, 31037876, 31730711, 744355888, 3788707301, 11552032628, 340028535787, 10686452707072, 10823198495797, 10952130239452, 409741429887649, 414022624965424, 17141894231615609
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Or, numerator of 1/1 + 1/3 + ... + 1/(2n-1).
Following similar remark by T. D. Noe in A025547, this coincides with f(n) = numerator of 1+1/3+1/5+1/7+...+1/(2n-1) iff n <= 38. But a(39) = 18048708369314455836683437302413, f(39)=1640791669937677803334857936583. Note that f(n)=numerator(digamma(n+1/2)/2+ln(2)+euler_gamma/2). - Paul Barry (pbarry(AT)wit.ie), Aug 19 2005
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..200
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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MAPLE
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A025550 := n->numer(add(1/(2*k+1), k=0..n));
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CROSSREFS
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Cf. A025547.
Cf. A075135.
Cf. A002428.
Sequence in context: A127131 A083355 A141763 this_sequence A067545 A004041 A089465
Adjacent sequences: A025547 A025548 A025549 this_sequence A025551 A025552 A025553
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KEYWORD
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nonn,easy,nice,frac
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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