Re: extracting powers and coefficients from a polynomial

*To*: mathgroup at smc.vnet.net*Subject*: [mg49063] Re: [mg49040] extracting powers and coefficients from a polynomial*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Wed, 30 Jun 2004 05:34:11 -0400 (EDT)*Reply-to*: hanlonr at cox.net*Sender*: owner-wri-mathgroup at wolfram.com

expr=Sum[x^i,{i,6}]^3; cl=CoefficientList[expr,x]; Select[Transpose[{Range[0,Length[cl]-1],cl}],#[[2]]!=0&] // TableForm Bob Hanlon > > From: "AngleWyrm" <no_spam_anglewyrm at hotmail.com> To: mathgroup at smc.vnet.net > Date: 2004/06/29 Tue AM 04:50:22 EDT > To: mathgroup at smc.vnet.net > Subject: [mg49063] [mg49040] extracting powers and coefficients from a polynomial > > I have made a formula that produces a polynomial expansion, and I wish to > extract the powers and coefficients into a list. > > Expand[(Sum[x^i, {i, 6}])^3] > 1x^3 + 3x^4 + 6x^5 + 10x^6 + 15x^7 + 21x^8 + 25x^9 + 27x^10 + 27x^11 + 25x^12 > + 21x^13 + 15x^14 + 10x^15 + 6x^16 + 3x^17 + 1x^18 > > How do I make a table of the powers and coefficents? > 3, 1 > 4, 3 > 5, 6 > 6, 10 > .... > > -- > AngleWyrm > The C++ hat random selection container: > http://home.comcast.net/~anglewyrm/hat.html > >