Search: id:A118064
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%I A118064
%S A118064 1,3,2,4,0
%N A118064 Decimal expansion of the sum of the reciprocals of the palindromic primes 
               (Honaker's constant).
%C A118064 The sum using all palindromic numbers <10^11 is 1.32398... Extrapolating 
               using palindromic primes <10^8 using Wynn's epsilon method gives 
               a value near 1.3240... - Eric Weisstein (eric(AT)weisstein.com), 
               May 14 2006
%H A118064 Carlos Rivera: <a href="http://www.primepuzzles.net/puzzles/puzz_056.htm">
               Problems & Puzzles: Puzzle 056 - The Honaker's Constant</a>.
%H A118064 Eric Weisstein: <a href="http://mathworld.wolfram.com/PalindromicPrime.html">
               Palindromic Prime</a>.
%F A118064 a(n) = sum(1/p), p is a palindromic prime.
%t A118064 (* first obtain nextPalindrome from A007632 *) s = 1/11; c = 1; pp = 
               1; Do[ While[pp < 10^n, If[PrimeQ@ pp, c++; s = N[s + 1/pp, 64]]; 
               pp = NextPalindrome@ pp]; If[ OddQ@ n, pp = 10^(n + 1); Print[{s, 
               n, c}]], {n, 17}] [From Robert G. Wilson v (rgwv(AT)rgwv.com), May 
               31 2009]
%Y A118064 Cf. A002385, A160910.
%Y A118064 Cf. A050251. [From Robert G. Wilson v (rgwv(AT)rgwv.com), May 31 2009]
%Y A118064 Sequence in context: A089750 A109591 A143932 this_sequence A070471 A070690 
               A160387
%Y A118064 Adjacent sequences: A118061 A118062 A118063 this_sequence A118065 A118066 
               A118067
%K A118064 cons,nonn,more
%O A118064 1,2
%A A118064 Martin Renner (martin.renner(AT)gmx.net), May 11 2006
%E A118064 Corrected by Eric Weisstein (eric(AT)weisstein.com), May 14 2006

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