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A225904 Numerator of Sum_{k=1..n} 1/L(k) where L(n) is the n-th Lucas number (A000204). 2
1, 4, 19, 145, 1679, 5191, 153311, 7286005, 69689327, 2869226821, 572447760301, 6593608277800, 3438637721790797, 966842075996112436, 119933240206586434591, 264753799412041684949165, 945570749875765527295137611, 303554979754466691916744807193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

EXAMPLE

1, 4/3, 19/12, 145/84, 1679/924, 5191/2772, ... = A225904/A225905.

MATHEMATICA

Numerator[Table[Sum[1/LucasL[k], {k, 1, n}], {n, 1, 30}]]

Numerator[Accumulate[1/LucasL[Range[20]]]] (* Harvey P. Dale, Sep 16 2016 *)

CROSSREFS

Cf. A000204, A059248, A035105, A225905.

Sequence in context: A321388 A212717 A067577 * A203010 A249785 A155804

Adjacent sequences:  A225901 A225902 A225903 * A225905 A225906 A225907

KEYWORD

nonn,frac,easy

AUTHOR

Michel Lagneau, May 20 2013

STATUS

approved

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Last modified April 6 11:51 EDT 2020. Contains 333273 sequences. (Running on oeis4.)