39,1

Where exp^(pi*sqrt163) is the Ramanujan constant and 70^2 is related to the norm vector 0 of the Leech lattice where 1^2+2^2+3^2...+22^2+23^2+24^2 = 70^2 A curiosity is: exp^2(pi*sqrt163) 70^2 ~ hc/piGm^2 where all physics values are CODATA 2006 and m = neutron mass and exp^2(pi*sqrt163) 70^2 = 3.377368...x 10^38 and hc/piGm^2 = 3.37700 x 10^38 (+- 0.00050) where 0.00050 = u_c which is the combined standard uncertainty.

This can also be expressed in a nice symmetric form in terms of the square of the neutron mass in units of Planck mass: where hc/2piGm^2 = (Mp/m)^2 (Mp = Planck mass and m = neutron mass) and (exp^2(pi*sqrt163)70^2)/2 ~ (Mp/m)^2 . Please note the divisor 2 in this case which yields (exp^2(pi*sqrt163)70^2)/2 = 168868437938467735733159816253012231600.00000040115967 [From Mark A. Thomas (monstrousgaugetheory(AT)gmail.com), Jul 02 2009]

R.Munafo,Notable Properties of Specific Numbers [From Mark A. Thomas (monstrousgaugetheory(AT)gmail.com), Jul 02 2009]

exp^2(pi*sqrt163) 70^2

exp^2(pi*sqrt163) 70^2 = 337736875876935471466319632506024463200.00000080231935662524957710441240659...

((e^((pi)sqrt163))^2 70^2)

Near relation to A160514 and A160515

Sequence in context: A096273 A069981 A000199 this_sequence A160515 A105670 A003817

Adjacent sequences: A161768 A161769 A161770 this_sequence A161772 A161773 A161774

nonn,cons

Mark A. Thomas (monstrousgaugetheory(AT)gmail.com), Jun 18 2009