A160515 Decimal expansion of the integer (640320^3 + 744)^2 * 70^2 = 337736875876935471466319632507953926400.

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, 2, 6, 4, 0, 0

Offset: 39

Author

Mark A. Thomas, May 16 2009

Keywords

• nonn
• cons
• fini
• full

Comments

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.

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.

Links

• M. A. Thomas, Math Ontological Basis of Quasi Fine-Tuning in Ghc Cosmologies, HAL preprint Id: hal-01232022, 2015.

Programs

Mathematica

IntegerDigits[(640320^3 + 744)^2*70^2] (* Michael De Vlieger, Dec 19 2015 *)

Formula

Equals Product_{i=1..5} A160514(i).

Extensions

Partially edited by R. J. Mathar, May 30 2009

Edited by N. J. A. Sloane, Dec 24 2010