The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display of the parities- [La conjecture de Syracuse pour U(0)={1,2,3,4,...,128} -visualisation monodimensionnelle des parités-].
The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display of the parities- [La conjecture de Syracuse pour U(0)={1,2,3,4,...,128} -visualisation monodimensionnelle des parités-].
U = N (an integer number [un nombre entier]) > 0
0
if U is even [si U est pair] :
n n
U
n
U = ----
n+1 2
else [sinon] :
U = 3*U + 1
n+1 n
U(0) = 7
U(1) = 22
U(2) = 11
U(3) = 34
U(4) = 17
U(5) = 52
U(6) = 26
U(7) = 13
U(8) = 40
U(9) = 20
U(10) = 10
U(11) = 5
U(12) = 16
U(13) = 8
U(14) = 4
U(15) = 2
U(16) = 1
{7,7} P=1 (White)
{7,22} P=0 (Red)
{7,11} P=1 (White)
{7,34} P=0 (Red)
{7,17} P=1 (White)
{7,52} P=0 (Red)
{7,26} P=0 (Red)
{7,13} P=1 (White)
{7,40} P=0 (Red)
{7,20} P=0 (Red)
{7,10} P=0 (Red)
{7,5} P=1 (White)
{7,16} P=0 (Red)
{7,8} P=0 (Red)
{7,4} P=0 (Red)
{7,2} P=0 (Red)
{7,1} P=1 (White)
where 'P' denotes the parity.
10000100010010101that is 67733 as a decimal number.
