SM-4-Words

4315 days ago by MathFest

expand((1+x^4)*(1+x^2+x^4+x^6+x^8+x^10)*(x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10)*(1+x+x^2+x^3+x^4+x^5)) 
        
x^29 + 2*x^28 + 4*x^27 + 6*x^26 + 10*x^25 + 14*x^24 + 19*x^23 + 24*x^22
+ 29*x^21 + 34*x^20 + 38*x^19 + 42*x^18 + 43*x^17 + 44*x^16 + 43*x^15 +
42*x^14 + 38*x^13 + 34*x^12 + 29*x^11 + 24*x^10 + 19*x^9 + 14*x^8 +
10*x^7 + 6*x^6 + 4*x^5 + 2*x^4 + x^3
x^29 + 2*x^28 + 4*x^27 + 6*x^26 + 10*x^25 + 14*x^24 + 19*x^23 + 24*x^22 + 29*x^21 + 34*x^20 + 38*x^19 + 42*x^18 + 43*x^17 + 44*x^16 + 43*x^15 + 42*x^14 + 38*x^13 + 34*x^12 + 29*x^11 + 24*x^10 + 19*x^9 + 14*x^8 + 10*x^7 + 6*x^6 + 4*x^5 + 2*x^4 + x^3
expand(3628800*(1+x^4/24)*(1+x^2/2+x^4/24+x^6/720+x^8/40320+x^10/3628800)*(x^3/6+x^4/24+x^5/120+x^6/720+x^7/5040+x^8/40320+x^9/362880+x^10/3628800)*(1+x+x^2/2+x^3/6+x^4/24+x^5/120)) 
        
1/10450944000*x^29 + 1/696729600*x^28 + 1/41803776*x^27 +
139/522547200*x^26 + 319/108864000*x^25 + 4687/174182400*x^24 +
337/1451520*x^23 + 11189/6220800*x^22 + 1537/120960*x^21 +
151789/1814400*x^20 + 179779/362880*x^19 + 335323/120960*x^18 +
136687/10080*x^17 + 84713/1344*x^16 + 623927/2520*x^15 + 21935/24*x^14 +
8512/3*x^13 + 24026/3*x^12 + 19760*x^11 + 44933*x^10 + 93220*x^9 +
188550*x^8 + 363600*x^7 + 589680*x^6 + 786240*x^5 + 756000*x^4 +
604800*x^3
1/10450944000*x^29 + 1/696729600*x^28 + 1/41803776*x^27 + 139/522547200*x^26 + 319/108864000*x^25 + 4687/174182400*x^24 + 337/1451520*x^23 + 11189/6220800*x^22 + 1537/120960*x^21 + 151789/1814400*x^20 + 179779/362880*x^19 + 335323/120960*x^18 + 136687/10080*x^17 + 84713/1344*x^16 + 623927/2520*x^15 + 21935/24*x^14 + 8512/3*x^13 + 24026/3*x^12 + 19760*x^11 + 44933*x^10 + 93220*x^9 + 188550*x^8 + 363600*x^7 + 589680*x^6 + 786240*x^5 + 756000*x^4 + 604800*x^3