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%I #21 Jan 09 2016 14:49:21
%S 3,3,7,7,3,6,8,7,5,8,7,6,9,3,5,4,7,1,4,6,6,3,1,9,6,3,2,5,0,7,9,5,3,9,
%T 2,6,4,0,0
%N Decimal expansion of the integer (640320^3 + 744)^2 * 70^2 = 337736875876935471466319632507953926400.
%C 640320^3 + 744 is an integer that is very close to Ramanujan's constant e^(Pi*sqrt(163)) = 640320^3 + 743.99999999999925 and 70^2 is related to the norm vector 0 of the hyperbolic version of the Leech lattice since 1^2 + 2^2 + 3^3 + ... + 22^2 + 23^2 + 24^2 = 70^2.
%C 337736875876935471466319632507953926400 = 2^8*3^2*5^2*7^2*10939058860032031^2 and 10939058860032031 is a prime number that can be decomposed to 2^15*3^2*5^3*23^3*29^3 + 31.
%H M. A. Thomas, <a href="https://hal.archives-ouvertes.fr/hal-01232022">Math Ontological Basis of Quasi Fine-Tuning in Ghc Cosmologies</a>, HAL preprint Id: hal-01232022, 2015.
%F Equals Product_{i=1..5} A160514(i).
%t IntegerDigits[(640320^3 + 744)^2*70^2] (* _Michael De Vlieger_, Dec 19 2015 *)
%K nonn,cons,fini,full
%O 39,1
%A _Mark A. Thomas_, May 16 2009
%E Partially edited by _R. J. Mathar_, May 30 2009
%E Edited by _N. J. A. Sloane_, Dec 24 2010
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