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A115388 Numerator of rational part of raw moment n of the line point picking problem. 1
-1, 3, -4, 17, -41, 42, -289, 1171, -1739, 1753, -19157, 19262, -249251, 250241, -249383, 200107, -1696405, 1700409, -32239703, 161504821, -161227687, 161479627, -3708740681, 3713590526, -18545643343, 18566236531, -55641506293, 55694623643 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..28.

Eric Weisstein's World of Mathematics, Line Point Picking

FORMULA

From Pontus von Brömssen, Nov 03 2019: (Start)

For even n, a(n)/A115389(n) = 2*n*Sum_{k=n/2..n-1} 1/k - 1.

For odd n >= 3, a(n)/A115389(n) = -2*n*((Sum_{k=(n-1)/2..n-2} 1/k) - 1/(n-1)) - 1.

(End)

EXAMPLE

-1 + 2*log(2), 3 - 4*log(2), -4 + 6*log(2), 17/3 - 8*log(2), -41/6 + 10*log(2), ...

CROSSREFS

Cf. A115389.

Sequence in context: A100434 A096876 A257330 * A187995 A296277 A303480

Adjacent sequences:  A115385 A115386 A115387 * A115389 A115390 A115391

KEYWORD

sign,frac

AUTHOR

Eric W. Weisstein, Jan 21 2006

STATUS

approved

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Last modified September 23 09:03 EDT 2020. Contains 337298 sequences. (Running on oeis4.)