A371137 Decimal expansion of Sum_{k>=1} 1/Lucas(k!).
1, 3, 8, 8, 8, 9, 8, 5, 3, 3, 7, 6, 4, 5, 6, 6, 4, 4, 1, 4, 0, 5, 2, 3, 7, 0, 3, 6, 6, 2, 3, 2, 6, 0, 8, 4, 9, 7, 3, 8, 4, 9, 4, 5, 4, 0, 4, 3, 3, 5, 2, 2, 1, 5, 1, 7, 2, 0, 3, 5, 2, 3, 9, 1, 6, 4, 4, 3, 3, 3, 1, 6, 6, 3, 2, 3, 3, 6, 8, 4, 2, 0, 2, 3, 7, 8, 1, 3, 2, 7, 2, 2, 5, 9, 9, 1, 8, 8, 2, 9, 8, 5, 0, 1, 6
Offset: 1
Examples
1.38889853376456644140523703662326084973849454043352...
Links
- 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.
Programs
-
Mathematica
RealDigits[Sum[1/LucasL[k!], {k, 1, 10}], 10, 120][[1]] -
PARI
suminf(k = 1, 1/(fibonacci(k!-1)+fibonacci(k!+1)))
Formula
Equals Sum_{k>=1} 1/A101293(k).
Comments