Decimal expansion of sum(k>=1,1/F(k)) where F(k) is the k-th Fibonacci number A000045(k).
3, 3, 5, 9, 8, 8, 5, 6, 6, 6, 2, 4, 3, 1, 7, 7, 5, 5, 3, 1, 7, 2, 0, 1, 1, 3, 0, 2, 9, 1, 8, 9, 2, 7
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Sat Nov 27 10:14:55 CET 2010 [seqfan] fast computation of sum(n=1, oo, 1/fibonacci(n))