A269992 Decimal expansion of Sum_{n>=1} 2^(1-n)/L(n), where L = A000032 (Lucas numbers).

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

Offset

1,2

Links

Table of n, a(n) for n=1..86.

Formula

Equals Sum_{n>=1} 1/A084057(n) = 2 * Sum_{n>=1} 1/A087131(n). - Amiram Eldar, Feb 01 2021

Example

1.2552211343298486031402667274403360...

Mathematica

x = N[Sum[2^(1 - n)/LucasL[n], {n, 1, 500}], 100]
RealDigits[x][[1]]

Prog

(PARI) L(n) = real((2 + quadgen(5)) * quadgen(5)^n); \\ A000032
suminf(n=1, 2^(1-n)/L(n)) \\ Michel Marcus, Nov 17 2020

Crossrefs

Cf. A000032, A084057, A087131, A269991.

Sequence in context: A145428 A086283 A153759 * A146100 A101458 A154953

Adjacent sequences: A269989 A269990 A269991 * A269993 A269994 A269995

Keyword

nonn,cons,easy

Author

Clark Kimberling, Mar 12 2016

Status

approved