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 A093540 Decimal expansion of Sum_{n = 1..Infinity} 1/L(n), where L(n) is the n-th Lucas number. 6
 1, 9, 6, 2, 8, 5, 8, 1, 7, 3, 2, 0, 9, 6, 4, 5, 7, 8, 2, 8, 6, 8, 7, 9, 5, 1, 2, 8, 6, 7, 5, 1, 8, 3, 5, 2, 6, 6, 4, 9, 5, 9, 3, 0, 1, 7, 1, 6, 2, 2, 1, 9, 4, 2, 1, 1, 3, 0, 7, 1, 5, 2, 4, 0, 4, 1, 7, 0, 6, 1, 6, 0, 7, 5, 4, 6, 4, 6, 0, 3, 7, 7, 9, 7, 9, 0, 4, 1, 8, 9, 9, 0, 8, 4, 0, 3, 4, 6, 9, 6, 2, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS A. F. Horadam, Elliptic functions and Lambert series in the summation of reciprocals in certain recurrence-generated sequences, The Fibonacci Quarterly, vol.26, no.2, pp.98-114, (May-1988). EXAMPLE 1.96285817... MATHEMATICA RealDigits[Sum[1/LucasL[n], {n, 2000}], 10, 120][[1]] (* Harvey P. Dale, Jan 15 2012 *) PROG (PARI) suminf(n=1, 1/(fibonacci(n-1)+fibonacci(n+1))) \\ Charles R Greathouse IV, Jan 15 2012 CROSSREFS Cf. A000204, A079586. Sequence in context: A243257 A194182 A019961 * A252837 A198573 A068925 Adjacent sequences:  A093537 A093538 A093539 * A093541 A093542 A093543 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Jan 04 2004 STATUS approved

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