cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A153416 Decimal expansion of Sum_{n>=0} 1/A000032(2*n+1).

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%I A153416 #18 Aug 16 2025 06:50:23
%S A153416 1,3,9,6,6,8,0,4,9,7,3,9,8,2,6,1,2,3,2,5,9,2,8,6,5,8,0,7,4,6,3,1,2,1,
%T A153416 5,2,2,9,1,3,4,4,8,8,1,9,2,9,6,3,1,3,8,5,0,6,3,8,3,7,0,8,2,7,1,6,2,4,
%U A153416 8,6,0,5,3,0,1,6,2,5,1,6,9,2,3,6,4,1,8,6,2,2,0,6,6,2,2,1,6,3,6,9,5,8,0,3,4
%N A153416 Decimal expansion of Sum_{n>=0} 1/A000032(2*n+1).
%F A153416 From _Amiram Eldar_, Jul 05 2025: (Start)
%F A153416 Equals Sum_{n>=0} 1/A002878(n).
%F A153416 Equals A093540 - A153415. (End)
%e A153416 1.3966804973982612325...
%t A153416 RealDigits[ NSum[ 1/LucasL[2*n + 1], {n, 0, Infinity}, WorkingPrecision -> 110, NSumTerms -> 100], 10, 105] // First (* _Jean-François Alcover_, Feb 07 2013 *)
%Y A153416 Cf. A000032, A002878, A093540, A153415.
%K A153416 nonn,cons
%O A153416 1,2
%A A153416 _Eric W. Weisstein_, Dec 25 2008