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

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, 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, 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

Offset: 4

Author

Alois P. Heinz, May 25 2012

Keywords

• nonn
• cons

Comments

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

Examples

			6606.481884325691329581644554...
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 4..10004
• Anet Chan, How to say "I love you" with math [broken link]
• Index entries for transcendental numbers

Crossrefs

Cf. A001113, A182369.

Programs

Maple

ILoveYou := 128*sqrt(e*980):
e:= exp(1): s:= convert(evalf( ILoveYou /10000, 140), string):
seq(parse(s[n+1]), n=1..120);

Mathematica

RealDigits[128 Sqrt[E 980], 10, 117][[1]] (* Bruno Berselli, May 27 2012 *)

PARI

128*sqrt(980*exp(1)) \\ Charles R Greathouse IV, Jun 19 2024

Formula

128 sqrt(e 980).