/usr/share/calc/help/bernoulli is in apcalc-common 2.12.4.4-2.
This file is owned by root:root, with mode 0o644.
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bernoulli - Bernoulli number
SYNOPSIS
bernoulli(n)
TYPES
n integer, n < 2^31 if even
return rational
DESCRIPTION
Returns the Bernoulli number with index n, i.e. the coefficient B_n in
the expansion
t/(exp(t) - 1) = Sum B_n * t^n/n!
bernoulli(n) is zero both for n < 0 and for n odd and > 2.
When bernoulli(n) is computed for positive even n, the values for
n and smaller positive even indices are stored in a table so that
a later call to bernoulli(k) with 0 <= k < n will be executed quickly.
Considerable runtime and memory are required for calculating
bernoulli(n) for large even n. For n = 1000, the numerator has
1779 digits, the denominator 9 digits.
The memory used to store calculated bernoulli numbers is freed by
freebernoulli().
EXAMPLE
; config("mode", "frac"),;
; for (n = 0; n <= 6; n++) print bernoulli(n),; print;
1 -1/2 1/6 0 -1/30 0 1/42
LIMITS
n < 2^31-1
LIBRARY
NUMBER *qbernoulli(long n)
SEE ALSO
euler, catalan, comb, fact, perm
## Copyright (C) 2000 Ernest Bowen
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: bernoulli,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/bernoulli,v $
##
## Under source code control: 2000/07/13 01:33:00
## File existed as early as: 2000
##
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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