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EXAMPLE
| a(0)=1 because there's no partition of 1 to square and cube;
a(1)=2 because 2=1^2+1^3, one partition;
a(2)=17 because 17=3^2+2^3=4^2+1^3, two partitions;
a(3)=1737 because {1737=3^2+12^3=35^2+8^3=39^2+6^3,
three partitions, etc.
Table of partitions:
{m,{a_i,b_i}}
{1,{-}}
{2,{1,1}}
{17,{3,2},{4,1}}
{1737,{3,12},{35,8},{39,6}}
{1025,{5,10},{30,5},{31,4},{32,1}}
{92025,{30,45},{152,41},{213,36},{255,30},{303,6}}
{3375900,{30,150},{1430,110},{1551,99},{1794,54},{1830,30},{1837,11}}
{11530025,{858,221},{2280,185},{3055,130},{3245,100},{3271,94},{3362,61},{3393,26}}
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