A371136 - OEIS

A371136

Decimal expansion of Sum_{k>=1} 1/Fibonacci(k!).

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

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OFFSET

1,1

COMMENTS

Nyblom (2000) proved that this constant is transcendental.

LINKS

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

M. A. Nyblom, A theorem on transcendence of infinite series, The Rocky Mountain Journal of Mathematics, Vol. 30, No. 3 (2000), pp. 1111-1120; alternative link.

Index entries for transcendental numbers.

FORMULA

Equals Sum_{k>=1} 1/A063374(k).

EXAMPLE

2.12502156659765355417529349235237991793625797423002...

MATHEMATICA

RealDigits[Sum[1/Fibonacci[k!], {k, 1, 10}], 10, 120][[1]]

PROG

(PARI) suminf(k = 1, 1/fibonacci(k!))

CROSSREFS

Cf. A000045, A000142, A063374, A343202, A371137.

Sequence in context: A225564 A032259 A109851 * A245841 A011404 A002211

Adjacent sequences: A371133 A371134 A371135 * A371137 A371138 A371139

KEYWORD

nonn,cons

AUTHOR

Amiram Eldar, Mar 12 2024

STATUS

approved