Search: id:A102310
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%I A102310
%S A102310 1,1,1,2,3,2,3,8,8,3,5,21,34,21,5,8,55,144,144,55,8,13,144,610,987,610,
%T A102310 144,13,21,377,2584,6765,6765,2584,377,21,34,987,10946,46368,75025,
%U A102310 46368,10946,987,34,55,2584,46368,317811,832040,832040,317811
%N A102310 Square array read by antidiagonals: Fib(k*n).
%F A102310 For prime p, the formula holds: Fib(kp) = Fib(p) * Sum[i=0..floor((k-1)/
               2), C(k-i-1, i)*(-1)^(ip+i)*Lucas(p)^(k-2i-1) ].
%e A102310 1,1,2,3,5,
%e A102310 1,3,8,21,55,
%e A102310 2,8,34,144,610,
%e A102310 3,21,144,987,6765,
%e A102310 5,55,610,6765,75025,
%Y A102310 Cf. Equals A000045(A003991(k, n)).
%Y A102310 Columns include A000045, A001906, A014445, A033888, A102312. Main diagonal 
               is in A054783. Antidiagonal sums are in A102311.
%Y A102310 Sequence in context: A085215 A076731 A085216 this_sequence A151546 A117936 
               A078331
%Y A102310 Adjacent sequences: A102307 A102308 A102309 this_sequence A102311 A102312 
               A102313
%K A102310 nonn,tabl
%O A102310 1,4
%A A102310 Ralf Stephan, Jan 06 2005

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