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A212708 Decimal expansion of the "I Love You" constant.

%I A212708 #40 Jun 19 2024 20:39:54
%S A212708 6,6,0,6,4,8,1,8,8,4,3,2,5,6,9,1,3,2,9,5,8,1,6,4,4,5,5,4,0,0,0,6,0,5,
%T A212708 6,9,5,0,7,3,0,8,9,8,4,2,2,1,9,2,1,5,0,1,0,1,5,3,1,0,8,4,2,2,8,8,5,8,
%U A212708 2,6,2,6,1,5,8,6,5,6,6,0,3,9,2,5,9,6,4,8,0,8,4,1,4,9,2,7,7,1,5,5,2,4,2,8,8,3,0,6,1,0,5,4,7,6,8,0,6
%N A212708 Decimal expansion of the "I Love You" constant.
%C A212708 In some of the literature this number is regarded as two times the "I Love You" constant since we must take half of 128*sqrt(e*980) to get "I Love You". - _Geoffrey Critzer_, Sep 28 2013
%H A212708 Alois P. Heinz, <a href="/A212708/b212708.txt">Table of n, a(n) for n = 4..10004</a>
%H A212708 Anet Chan, <a href="http://anetchan16.tumblr.com/post/17659997149/how-to-say-i-love-you-with-math">How to say "I love you" with math</a> [broken link]
%H A212708 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A212708 128 sqrt(e 980).
%e A212708 6606.481884325691329581644554...
%p A212708 ILoveYou := 128*sqrt(e*980):
%p A212708 e:= exp(1): s:= convert(evalf( ILoveYou /10000, 140), string):
%p A212708 seq(parse(s[n+1]), n=1..120);
%t A212708 RealDigits[128 Sqrt[E 980], 10, 117][[1]] (* _Bruno Berselli_, May 27 2012 *)
%o A212708 (PARI) 128*sqrt(980*exp(1)) \\ _Charles R Greathouse IV_, Jun 19 2024
%Y A212708 Cf. A001113, A182369.
%K A212708 nonn,cons
%O A212708 4,1
%A A212708 _Alois P. Heinz_, May 25 2012