Cerca la voce "pendulum" in Wikipedia (versione inglese!). Cerca quindi di capire che cosa calcolano (e che cosa mettono in luce) i seguenti comandi.

k1=2/16; k2=11/3072; k3=173/737280; k4=22931/1321205760
T0=2π·√(L/g)
T2=2π·√( L/g·(1 + A²·k1) )
T6=2π·√( L/g·(1 + A²·k1 + A⁴·k2 + A⁶·k3) )
T8=2π·√( L/g·(1 + A²·k1 + A⁴·k2 + A⁶·k3 + A⁸·k4) )
L=1; g=9.81
A=5π/180;   T0,T2,T4,T6 → 2.0060666807106475, 2.0070212705519523, 2.0070214788505636, 2.007021478850622
A=10π/180; T0,T2,T4,T6 → 2.0060666807106475, 2.0098823197937716, 2.0098856528047806, 2.009885652819742
A=20π/180; T0,T2,T4,T6 → 2.0060666807106475, 2.0212860201629224, 2.021339363733758,   2.021339367542074
A=45π/180; T0,T2,T4,T6 → 2.0060666807106475, 2.0819708498658502, 2.0833404189852507, 2.0833428459967154
A=60π/180; T0,T2,T4,T6 → 2.0060666807106475, 2.1391461750182286, 2.1434833311072437, 2.1435068935176314
A=90π/180; T0,T2,T4,T6 → 2.0060666807106475, 2.294667709362779,   2.3167678808594183, 2.31732652777369