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A091330

a(n) = ((p-1)!/p) - ((p-1)*(p-1)!/p!), where p is the n-th prime.

0, 0, 4, 102, 329890, 36846276, 1230752346352, 336967037143578, 48869596859895986086, 10513391193507374500051862068, 8556543864909388988268015483870, 10053873697024357228864849950022572972972

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OFFSET

1,3

COMMENTS

Related to Wilson's Theorem. Let p be a prime number and write 1/p - (p-1)/p! = x/(p-1)!. Then x = (p-1)!/p - (p-1)*(p-1)!/p! = (p-1)!/p - (p-1)/p.

Also, a(n) = floor((p-1)!/p). [Bruno Berselli, May 31 2013]

If b(1)=1, and b(m) = ((m-1)^2 / m) *(b(m-1)+(m-3)/(m-1)) for m>1, then a(n) are the terms of b(m) for m prime. [Pedro Caceres, Dec 30 2018]

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

Prime(4)=7 so a(4) = 6!/7 - 6*6!/7! = 102

MATHEMATICA

A091330[n_] := Block[{p = Prime[n]}, ((p - 1)!/p) - ((p - 1)*(p - 1)!/p!)] (* Robert G. Wilson v, Mar 02 2004 *)

CROSSREFS

Cf. A007619.

Sequence in context: A180818 A211047 A326087 * A353312 A024056 A353311

Adjacent sequences: A091327 A091328 A091329 * A091331 A091332 A091333

KEYWORD

nonn,easy

AUTHOR

Russell Easterly, Mar 01 2004

EXTENSIONS

More terms from Robert G. Wilson v and Ray Chandler, Mar 02 2004

STATUS

approved

URL: https://oeis.org/A091330

⇱ A091330 - OEIS