A_{1,1} = (9/2 – 3√2)π = .808+ | A_{1,2} = (35/4 – 6√2)π = .831+ | A_{1,3} = (13 – 9√2)π = .854+ | A_{1,4} = (69/4 – 12√2)π = .877+ |
A_{1,5} = .845+ | A_{1,6} = .857+ | A_{1,7} = .868+ | A_{1,8} = .880+ |
A_{2,2} = .817+ | A_{2,3} = .733+ (MM) | A_{2,4} = 33π/128 = .809+ | A_{2,5} = .742+ (MM) |
A_{2,6} = .783+ | A_{2,7} = .781+ (JD) | A_{2,8} = .815+ (JD) | A_{2,9}=(15-4√2)π/36=.815+ (JD) |
A_{3,3} .758+ | A_{3,4} = 67π/256 = .822+ | A_{3,5} = .780+ (MM) | A_{3,6} = .815+ (MM) |
A_{3,7} = .787+ (JD) | A_{3,8} = .802+ (JD) | A_{3,9} = (3-√2)π/6 = .830+ | A_{3,10} = .802+ (JD) |
A_{4,4} = 17π/64 = .834+ | A_{4,5} = 69π/256 = .846+ | A_{4,6} = 35π/128 = .859+ | A_{4,7} = .850+ |
A_{4,8} = .859+ | A_{4,9} = (21-8√2)π/36 = .845+ | A_{4,10} = 3(29-20√2)π/8 = .843+ | A_{4,11} = .848+ |
A_{5,5} = .763+ (JD) | A_{5,6} = .781+ (JD) | A_{5,7} = .799+ (JD) | A_{5,8} = .817+ (JD) |
A_{5,9} = 149π/576 = .812+ (JD) | A_{5,10} = .800+ (JD) | A_{5,11} = .813+ (JD) | A_{5,12} = .825+ (JD) |
A_{6,6} = .771+ (JD) | A_{6,7} = .783+ (JD) | A_{6,8} = .803+ (JD) | A_{6,9} = 75π/288 = .818+ (JD) |
A_{6,10} = .805+ (JD) | A_{6,11} = .812+ (JD) | A_{6,12} = .832+ (JD) | A_{6,13} = .821+ (JD) |
A_{7,7} = .790+ (JD) | A_{7,8} = .815+ (JD) | A_{7,9} = 151π/576 = .823+ (JD) | A_{7,10} = .799+ (JD) |
A_{7,11} = .794+ (JD) | A_{7,12} = .805+ (JD) | A_{7,13} = .812+ (JD) | A_{7,14} = .819+ (JD) |
A_{8,8} = .827+ (JD) | A_{8,9} = .839+ (JD) | A_{8,10} = .815+ (JD) | A_{8,11} = .815+ (JD) |
A_{8,12} = .816+ (JD) | A_{8,13} = .823+ (JD) | A_{8,14} = .830+ (JD) | A_{8,15} = .837+ (JD) |
A_{9,9} = 153π/576 = .834+ (JD) | A_{9,10} = ? | A_{9,11} = ? | A_{9,12} = ? |
If you can extend any of these results, please e-mail me. Click here to go back to Math Magic. Last updated 5/23/14.