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EXAMPLE
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Given A086606={1,_1,2,_1,3,9,_1,4,14,32,_1,5,20,55,140, ...},
a(2)=3=1+2 since A086606^2={1,2, ...},
a(3)=13=1+3+9 since A086606^3={1,3,9, ...},
a(4)=51=1+4+14+32 since A086606^4={1,4,14,32, ...},
a(5)=221=1+5+20+55+140 since A086606^5={1,5,20,55,140, ...}.
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