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

39,1

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

Table of n, a(n) for n=39..77.

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

Formula

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

Mathematica

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

Crossrefs

Sequence in context: A359947 A201932 A161771 * A105670 A283996 A003817

Adjacent sequences: A160512 A160513 A160514 * A160516 A160517 A160518

Keyword

nonn,cons,fini,full

Author

Mark A. Thomas, May 16 2009

Extensions

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

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

Status

approved