续组合问题2

tommywong

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$(x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^{10}+x^{11}+x^{12})(x^2+x^4+x^6+x^8+x^{10}+x^{12})(x^3+x^6+x^9+x^{12})(x^4+x^8+x^{12})$

$\begin{array}{|c|c|c|c|}
\hline
x^{10} & x^{11} & x^{12} & x^{13} & x^{14} & x^{15} & x^{16} & x^{17} & x^{18} & x^{19} & x^{20} & x^{21} \\
\hline
1 & 1 & 2 & 3 & 5 & 6 & 9 & 11 & 15 & 18 & 23 & 27 \\
\hline
x^{22} & x^{23} & x^{24} & x^{25} & x^{26} & x^{27} & x^{28} & x^{29} & x^{30} & x^{31} & x^{32} & x^{33} \\
\hline
30 & 35 & 39 & 42 & 44 & 48 & 48 & 50 & 48 & 48 & 44 & 42 \\
\hline
x^{34} & x^{35} & x^{36} & x^{37} & x^{38} & x^{39} & x^{40} & x^{41} & x^{42} & x^{43} & x^{44} & x^{45} \\
\hline
39 & 35 & 30 & 27 & 23 & 18 & 15 & 11 & 9 & 6 & 5 & 3 \\
\hline
x^{46} & x^{47} & x^{48} & x^{49} & x^{50} & x^{51} & x^{52} & x^{53} & x^{54} & x^{55} & x^{56} & x^{57} \\
\hline
2 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
\hline
\end{array}$

tommywong

1,1,1,1,1,1,1,1,1,1,1,1(1~12)
0,0,1,1,1,1,1,1,1,1,1,1,1,1
0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1
0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1
0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1
0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1→
1,1,2,2,3,3,4,4,5,5,6,6,5,5,4,4,3,3,2,2,1,1(3~24)

1,1,2,2,3,3,4,4,5,5,6,6,5,5,4,4,3,3,2,2,1,1
0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,5,5,4,4,3,3,2,2,1,1
0,0,0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,5,5,4,4,3,3,2,2,1,1
0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,5,5,4,4,3,3,2,2,1,1→
1,1,2,3,4,5,7,8,10,12,14,16,16,18,18,18,18,18,16,16,14,12,10,8,7,5,4,3,2,1,1(6~36)

01,01,02,03,04,05,07,08,10,12,14,16,16,18,18,18,18,18,16,16,14,12,10,08,07,05,04,03,02,01,01
00,00,00,00,01,01,02,03,04,05,07,08,10,12,14,16,16,18,18,18,18,18,16,16,14,12,10,08,07,05,04,03,02,01,01
00,00,00,00,00,00,00,00,01,01,02,03,04,05,07,08,10,12,14,16,16,18,18,18,18,18,16,16,14,12,10,08,07,05,04,03,02,01,01→
01,01,02,03,05,06,09,11,15,18,23,27,30,35,39,42,44,48,48,50,48,48,44,42,39,35,30,27,23,18,15,11,09,06,05,03,02,01,01(10~48)