A215941 Decimal expansion of Sum_{n = 1 .. infinity } 1 / L(n)^n where L(n) is the n-th Lucas number.

1, 1, 2, 7, 1, 5, 8, 8, 4, 2, 9, 1, 1, 4, 1, 2, 6, 4, 3, 6, 6, 4, 9, 8, 5, 6, 3, 3, 7, 4, 9, 3, 5, 6, 4, 2, 9, 1, 4, 5, 0, 8, 5, 2, 8, 6, 3, 1, 1, 9, 4, 0, 7, 6, 2, 4, 3, 8, 0, 5, 9, 4, 2, 3, 0, 3, 8, 6, 8, 1, 8, 4, 7, 0, 3, 9, 7, 1, 3, 8, 0, 6, 9, 5, 6, 8, 1, 7, 3, 4, 9, 9, 8, 5, 2, 0, 3, 7, 5, 7, 2, 8, 1, 9, 3

Offset

1,3

Links

Table of n, a(n) for n=1..105.

Example

1.12715884291141264366... = 1/1^1 + 1/3^2+ 1/4^3+ 1/7^4 +1/11^5 +1/18^6 +….

Mathematica

RealDigits[N[Sum[1/LucasL[n]^n, {n, 1, 105}], 105]][[1]]

Crossrefs

Cf. A000204.

Sequence in context: A351953 A371838 A373779 * A156194 A271855 A021372

Adjacent sequences: A215938 A215939 A215940 * A215942 A215943 A215944

Keyword

nonn,cons

Author

Michel Lagneau, Sep 21 2012

Status

approved