Strona:A. Baranowski - O wzorach.pdf/16

$\varphi (\,\,\,27,3)=\varphi (\,\,\,27,2)-\varphi (\,\,\,\,\,\,5,2)=\,\,\,\,\,\,9\,\,\,\,\,\,\,-\,\,\,2=\,\,\,\,\,\,7$  $\varphi (\,\,\,27,2)=\varphi (\,\,\,27,1)-\varphi (\,\,\,\,\,\,9,1)=\,\,\,14\,\,\,\,\,\,\,-\,\,\,5=\,\,\,\,\,\,9$  $\varphi (\,\,\,5,2)=\varphi (\,\,\,5,1)-\varphi (2,1)=\,\,\,\,\,\,3-\,\,\,\,\,\,1$	$=$	$\,\,\,2$
$\varphi (\,\,\,17,4)=\varphi (\,\,\,17,3)-\varphi (\,\,\,\,\,\,1,3)=\,\,\,\,\,\,5\,\,\,\,\,\,\,-\,\,\,1=\,\,\,\,\,\,4$  $\varphi (\,\,\,17,3)=\varphi (\,\,\,17,2)-\varphi (\,\,\,\,\,\,2,2)=\,\,\,\,\,\,6\,\,\,\,\,\,\,-\,\,\,1=\,\,\,\,\,\,5$  $\varphi (\,\,\,17,2)=\varphi (\,\,\,17,1)-\varphi (\,\,\,\,\,\,5,1)=\,\,\,\,\,\,9\,\,\,\,\,\,\,-\,\,\,3=\,\,\,\,\,\,6$
$\varphi (169,7)=\varphi (169,6)-\varphi (\,\,\,\,\,\,9,6)=\,\,\,34\,\,\,\,\,\,\,-\,\,\,1=\,\,\,33$  $\varphi (169,6)=\varphi (169,5)-\varphi (\,\,\,13,5)=\,\,\,36\,\,\,\,\,\,\,-\,\,\,2=\,\,\,34$  $\varphi (169,5)=\varphi (169,4)-\varphi (\,\,\,15,4)=\,\,\,39\,\,\,\,\,\,\,-\,\,\,3=\,\,\,36$  $\varphi (169,4)=\varphi (169,3)-\varphi (\,\,\,24,3)=\,\,\,46\,\,\,\,\,\,\,-\,\,\,7=\,\,\,39$  $\varphi (169,3)=\varphi (169,2)-\varphi (\,\,\,33,2)=\,\,\,57\,\,\,\,\,\,\,-11=\,\,\,46$  $\varphi (169,2)=\varphi (169,1)-\varphi (\,\,\,56,1)=\,\,\,85\,\,\,\,\,\,\,-28=\,\,\,57$  $\varphi (33,2)=\varphi (33,1)-\varphi (11,1)=\,\,\,17-\,\,\,\,\,\,6$	$=$	$11$
$\varphi (\,\,\,24,3)=\varphi (\,\,\,24,2)-\varphi (\,\,\,\,\,\,4,2)=\,\,\,\,\,\,8\,\,\,\,\,\,\,-\,\,\,1=\,\,\,\,\,\,7$  $\varphi (\,\,\,24,2)=\varphi (\,\,\,24,1)-\varphi (\,\,\,\,\,\,8,1)=\,\,\,12\,\,\,\,\,\,\,-\,\,\,4=\,\,\,\,\,\,8$
$\varphi (140,8)=\varphi (140,7)-\varphi (\,\,\,\,\,\,7,7)=\,\,\,28\,\,\,\,\,\,\,-\,\,\,1=\,\,\,27$  $\varphi (140,7)=\varphi (140,6)-\varphi (\,\,\,\,\,\,8,6)=\,\,\,29\,\,\,\,\,\,\,-\,\,\,1=\,\,\,28$  $\varphi (140,6)=\varphi (140,5)-\varphi (\,\,\,10,5)=\,\,\,30\,\,\,\,\,\,\,-\,\,\,1=\,\,\,29$  $\varphi (140,5)=\varphi (140,4)-\varphi (\,\,\,12,4)=\,\,\,32\,\,\,\,\,\,\,-\,\,\,2=\,\,\,30$  $\varphi (140,4)=\varphi (140,3)-\varphi (\,\,\,20,3)=\,\,\,38\,\,\,\,\,\,\,-\,\,\,6=\,\,\,32$  $\varphi (140,3)=\varphi (140,2)-\varphi (\,\,\,28,2)=\,\,\,47\,\,\,\,\,\,\,-\,\,\,9=\,\,\,38$  $\varphi (140,2)=\varphi (140,1)-\varphi (\,\,\,46,1)=\,\,\,70\,\,\,\,\,\,\,-23=\,\,\,47$  $\varphi (\,\,\,28,2)=\varphi (\,\,\,28,1)-\varphi (\,\,\,\,\,\,9,1)=\,\,\,14\,\,\,\,\,\,\,-\,\,\,5=\,\,\,\,\,\,9$
$\varphi (\,\,\,20,3)=\varphi (\,\,\,20,2)-\varphi (\,\,\,\,\,\,4,2)=\,\,\,\,\,\,7\,\,\,\,\,\,\,-\,\,\,1=\,\,\,\,\,\,6$  $\varphi (\,\,\,20,2)=\varphi (\,\,\,20,1)-\varphi (\,\,\,\,\,\,6,1)=\,\,\,10\,\,\,\,\,\,\,-\,\,\,3=\,\,\,\,\,\,7$  $\varphi (\,\,\,4,2)=\varphi (\,\,\,4,1)-\varphi (\,\,\,1,1)=\,\,\,\,\,\,2-\,\,\,\,\,\,1$	$=$	$\,\,\,1$
$\varphi (\,\,\,12,4)=\varphi (\,\,\,12,3)-\varphi (\,\,\,\,\,\,1,3)=\,\,\,\,\,\,3\,\,\,\,\,\,\,-\,\,\,1=\,\,\,\,\,\,2$  $\varphi (\,\,\,12,3)=\varphi (\,\,\,12,2)-\varphi (\,\,\,\,\,\,2,2)=\,\,\,\,\,\,4\,\,\,\,\,\,\,-\,\,\,1=\,\,\,\,\,\,3$  $\varphi (\,\,\,12,2)=\varphi (\,\,\,12,1)-\varphi (\,\,\,\,\,\,4,1)=\,\,\,\,\,\,6\,\,\,\,\,\,\,-\,\,\,2=\,\,\,\,\,\,4$
$\varphi (111,9)=\varphi (111,8)-\varphi (\,\,\,\,\,\,4,8)=\,\,\,22\,\,\,\,\,\,\,-\,\,\,1=\,\,\,21$  $\varphi (111,8)=\varphi (111,7)-\varphi (\,\,\,\,\,\,5,7)=\,\,\,23\,\,\,\,\,\,\,-\,\,\,1=\,\,\,22$  $\varphi (111,7)=\varphi (111,6)-\varphi (\,\,\,\,\,\,6,6)=\,\,\,24\,\,\,\,\,\,\,-\,\,\,1=\,\,\,23$  $\varphi (111,6)=\varphi (111,5)-\varphi (\,\,\,\,\,\,8,5)=\,\,\,25\,\,\,\,\,\,\,-\,\,\,1=\,\,\,24$  $\varphi (111,5)=\varphi (111,4)-\varphi (\,\,\,10,4)=\,\,\,26\,\,\,\,\,\,\,-\,\,\,1=\,\,\,25$  $\varphi (111,4)=\varphi (111,3)-\varphi (\,\,\,15,3)=\,\,\,30\,\,\,\,\,\,\,-\,\,\,4=\,\,\,26$  $\varphi (111,3)=\varphi (111,2)-\varphi (\,\,\,22,2)=\,\,\,37\,\,\,\,\,\,\,-\,\,\,7=\,\,\,30$  $\varphi (111,2)=\varphi (111,1)-\varphi (\,\,\,37,1)=\,\,\,56\,\,\,\,\,\,\,-19=\,\,\,37$  $\varphi (22,2)=\varphi (22,1)-\varphi (\,\,\,7,1)=\,\,\,11-\,\,\,\,\,\,4$	$=$	$\,\,\,7$