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#31 by Joerg Arndt at Sat Jan 27 06:29:26 EST 2018
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#30 by Michel Marcus at Sat Jan 27 03:54:40 EST 2018
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Discussion
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| Sat Jan 27
| 04:01
| Jon E. Schoenfield: @Michel -- thanks very much for reformatting the Formula entry per the OEIS Style Sheet. I'm afraid that I often find this contributor's Formula entries so complex that I hesitate to attempt to reformat that them to agree with the Style Sheet because I'm afraid I'm going to get them wrong. :-(
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| 04:02
| Jon E. Schoenfield: (This particular one wasn't bad, but I've gotten into the habit of leaving this contributor's Formula entries alone.)
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#29 by Michel Marcus at Sat Jan 27 03:54:35 EST 2018
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| NAME
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EExpansion of e.g.f. log(1 + x*cosh(x)).
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| FORMULA
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a(n) = n!*Sum_{k=1..n-1} ((Sum_{i=0..k} (k-2*i)^(n-k)*binomial(k,i)) /(2^k*(n-k)!)*(-1)^(k-1)/k) + (-1)^(n-1)*(n-1)!. - _Vladimir Kruchinin_, Apr 21 2011
Sum_{k=1..n-1} ((Sum_{i=0..k} (k-2*i)^(n-k)*binomial(k,i))
/(2^k*(n-k)!)*(-1)^(k-1)/k) + (-1)^(n-1)*(n-1)!. - Vladimir Kruchinin, Apr 21 2011
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| STATUS
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proposed
editing
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#28 by Jon E. Schoenfield at Sat Jan 27 03:48:15 EST 2018
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#27 by Jon E. Schoenfield at Sat Jan 27 03:48:11 EST 2018
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| NAME
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E.g.f. log(1+ + x*cosh(x)).
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| PROG
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a(n):=n!*sum(sum((k-2*i)^(n-k)*binomial(k, i), i, 0, k)/(2^k*(n-k)!)*(-1)^(k-1)/k, k, 1, n-1)+(-1)^(n-1)*(n-1)!; [From _)!; /* _Vladimir Kruchinin_, Apr 21 2011] */
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| STATUS
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approved
editing
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#26 by N. J. A. Sloane at Sun Mar 19 00:58:11 EDT 2017
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#25 by Jon E. Schoenfield at Sat Mar 18 21:14:59 EDT 2017
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#24 by Jon E. Schoenfield at Sat Mar 18 21:14:47 EDT 2017
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a(n) = n!*
a(n)=n!*sum(Sum_{k=1..n-1, sum(} ((Sum_{i=0..k, (} (k-2*i)^(n-k)*binomial(k,i))/(2^k*(n-k)!)*(-1)^(k-1)/k)+(-1)^(n-1)*(n-1)!. - _Vladimir Kruchinin_, Apr 21 2011))
/(2^k*(n-k)!)*(-1)^(k-1)/k) + (-1)^(n-1)*(n-1)!. - Vladimir Kruchinin, Apr 21 2011
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| EXTENSIONS
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Extended with signs Mar 15 1997 by __ _Olivier Gérard__._, Mar 15 1997
Definition corrected by Joerg Arndt, Apr 21 2011.
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| STATUS
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approved
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#23 by Charles R Greathouse IV at Mon Apr 25 11:45:27 EDT 2016
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| PROG
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(PariPARI) x='x+O('x^66); /* that many terms */
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Discussion
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| Mon Apr 25
| 11:45
| OEIS Server: https://oeis.org/edit/global/2503
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#22 by Vaclav Kotesovec at Sat Jan 24 11:11:59 EST 2015
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