Re: Extract Integers

*To*: mathgroup at smc.vnet.net*Subject*: [mg131431] Re: Extract Integers*From*: Andrzej Kozlowski <akozlowski at gmail.com>*Date*: Sun, 21 Jul 2013 21:42:57 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net*References*: <20130721082357.762536A19@smc.vnet.net>

On 21 Jul 2013, at 10:23, Dana DeLouis <dana01 at icloud.com> wrote: > Hi. I've run out of ideas. Does anyone know the proper way to extract all the integers from the following simplified version of a larger problem I'm working on? > > equ=Series[Exp[x],{x,0,5}] //Normal > > 1+x+x^2/2+x^3/6+x^4/24+x^5/120 > > When trying to extract all the integers, I understand numbers like 120 are part of Rational[1,120] > > equ //FullForm > > << Not shown here >> > > I thought looking at all LevelSpec was the solution, but apparently not. > > Cases[equ, _Integer, Infinity] > {1,2,3,4,5} > > (* Or *) > > Position[equ, _Integer, Infinity] > {{1},{3,2,2},{4,2,2},{5,2,2},{6,2,2}} > > Extract[equ, %] > {1,2,3,4,5} > > Both ways extract from the numerator, but I just can't seem to extract the {2,6,24,120} inside the denominator. > Does anyone know the proper way? > Thanks in advance. :>~ > > Dana > Mac & Math 9 > > In this case the following will do: expr = 1 + x + x^2/2 + x^3/6 + x^4/24 + x^5/120 Cases[ expr /. Rational[x_, y_] :> rational[x, y], _Integer, {0, Infinity}] {1, 2, 1, 2, 3, 1, 6, 4, 1, 24, 5, 1, 120} If your expression involved complex numbers you would have to do the same with Complex as well as with Rational. Andrzej Kozlowski

**References**:**Extract Integers***From:*Dana DeLouis <dana01@icloud.com>