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LucasL

LucasL[n]
gives the Lucas number L_n.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The L_n satisfy the recurrence relation L_n=L_(n-1)+L_(n-2) with L_1=1, L_2=3.
  • For any complex value of n the L_n are given by the general formula L_n=(phi^n+cos(pi n)phi^(-n)), where phi is the golden ratio.
  • LucasL automatically threads over lists.
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