SM-4-LinearDiophantine(OneVariable)

4308 days ago by MathFest

expand((x^-1+1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9)*(x^-2+x^-1+1+x+x^2+x^3+x^4)*(x^-6+x^-4+x^-2+1+x^2+x^4+x^6+x^8+x^10+x^12+x^14+x^16+x^18+x^20+x^22)*(1+x^3+x^6+x^9+x^12+x^15+x^18+x^21)) 
        
x^56 + 2*x^55 + 4*x^54 + 7*x^53 + 11*x^52 + 16*x^51 + 23*x^50 + 30*x^49
+ 39*x^48 + 49*x^47 + 60*x^46 + 71*x^45 + 84*x^44 + 96*x^43 + 109*x^42 +
122*x^41 + 135*x^40 + 147*x^39 + 161*x^38 + 173*x^37 + 186*x^36 +
199*x^35 + 212*x^34 + 224*x^33 + 237*x^32 + 248*x^31 + 259*x^30 +
269*x^29 + 278*x^28 + 285*x^27 + 291*x^26 + 295*x^25 + 297*x^24 +
297*x^23 + 295*x^22 + 291*x^21 + 285*x^20 + 278*x^19 + 269*x^18 +
259*x^17 + 248*x^16 + 237*x^15 + 224*x^14 + 212*x^13 + 199*x^12 +
186*x^11 + 173*x^10 + 161*x^9 + 147*x^8 + 135*x^7 + 122*x^6 + 109*x^5 +
96*x^4 + 84*x^3 + 71*x^2 + 60*x + 39/x + 30/x^2 + 23/x^3 + 16/x^4 +
11/x^5 + 7/x^6 + 4/x^7 + 2/x^8 + 1/x^9 + 49
x^56 + 2*x^55 + 4*x^54 + 7*x^53 + 11*x^52 + 16*x^51 + 23*x^50 + 30*x^49 + 39*x^48 + 49*x^47 + 60*x^46 + 71*x^45 + 84*x^44 + 96*x^43 + 109*x^42 + 122*x^41 + 135*x^40 + 147*x^39 + 161*x^38 + 173*x^37 + 186*x^36 + 199*x^35 + 212*x^34 + 224*x^33 + 237*x^32 + 248*x^31 + 259*x^30 + 269*x^29 + 278*x^28 + 285*x^27 + 291*x^26 + 295*x^25 + 297*x^24 + 297*x^23 + 295*x^22 + 291*x^21 + 285*x^20 + 278*x^19 + 269*x^18 + 259*x^17 + 248*x^16 + 237*x^15 + 224*x^14 + 212*x^13 + 199*x^12 + 186*x^11 + 173*x^10 + 161*x^9 + 147*x^8 + 135*x^7 + 122*x^6 + 109*x^5 + 96*x^4 + 84*x^3 + 71*x^2 + 60*x + 39/x + 30/x^2 + 23/x^3 + 16/x^4 + 11/x^5 + 7/x^6 + 4/x^7 + 2/x^8 + 1/x^9 + 49