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 A102310 Square array read by antidiagonals: Fib(k*n). 5
 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, 144, 13, 21, 377, 2584, 6765, 6765, 2584, 377, 21, 34, 987, 10946, 46368, 75025, 46368, 10946, 987, 34, 55, 2584, 46368, 317811, 832040, 832040, 317811, 46368, 2584, 55 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS FORMULA 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) ]. EXAMPLE 1,1,2,3,5, 1,3,8,21,55, 2,8,34,144,610, 3,21,144,987,6765, 5,55,610,6765,75025, MATHEMATICA Table[Fibonacci[k*(n-k+1)], {n, 1, 10}, {k, 1, n}] // Flatten (* Jean-François Alcover, Jun 10 2017 *) CROSSREFS Cf. Equals A000045(A003991(k, n)). Columns include A000045, A001906, A014445, A033888, A102312. Main diagonal is in A054783. Antidiagonal sums are in A102311. Sequence in context: A076731 A085216 A300663 * A151546 A117936 A264766 Adjacent sequences:  A102307 A102308 A102309 * A102311 A102312 A102313 KEYWORD nonn,tabl AUTHOR Ralf Stephan, Jan 06 2005 STATUS approved

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Last modified October 17 22:48 EDT 2018. Contains 316297 sequences. (Running on oeis4.)