Release calc version 2.11.4t1

help/euler

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+NAME
+    euler - Euler number
+
+SYNOPSIS
+    euler(n)
+
+TYPES
+    n		integer, n <= 1000000 if even
+
+    return	integer
+
+DESCRIPTION
+    Returns the Euler number with index n, i.e. the coefficient E_n in
+    the expansion
+
+		sech(t) = Sigma E_n * t^n/n!
+
+    When euler(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 euler(k) with 0 <= k <= n will be executed quickly.
+    If euler(k) is called with negative k, zero is returned and the
+    memory used by the table iu freed.
+
+    Considerable runtime and memery are required for calculating
+    euler(n) for large even n.
+
+EXAMPLE
+    > for (n = 0; n <= 6; n++) print euler(n),; print;
+    1 0 -1 0 5 0 -61
+
+LIMITS
+    none    
+
+LINK LIBRARY
+    NUMBER *qeuler(long n)
+
+SEE ALSO
+    bernoulli, bell, 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.
+## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
+##
+## @(#) $Revision: 29.1 $
+## @(#) $Id: euler,v 29.1 2000/12/14 10:31:45 chongo Exp $
+## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/euler,v $
+##
+## Under source code control:	2000/12/14 01:33:00
+## File existed as early as:	2000
+##
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/