Decimal expansion of Sum[1/Fibonacci[2n], {n, Infinity}].
1, 5, 3, 5, 3, 7, 0, 5, 0, 8, 8, 3, 6, 2, 5, 2, 9, 8, 5, 0, 2, 9, 8, 5, 2, 8, 9, 6, 6, 5, 1, 5, 9, 9
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Sat Nov 27 10:14:55 CET 2010 [seqfan] fast computation of sum(n=1, oo, 1/fibonacci(n))