www.mene.biz/uni/ana1_b6_a1.php
(1 1) = 1
(2 1) = 2 gerade
(2 2) = 1
(3 1) = 3
(3 2) = 3
(3 3) = 1
(4 1) = 4 gerade
(4 2) = 6 gerade
(4 3) = 4 gerade
(4 4) = 1
(5 1) = 5
(5 2) = 10 gerade
(5 3) = 10 gerade
(5 4) = 5
(5 5) = 1
(6 1) = 6 gerade
(6 2) = 15
(6 3) = 20 gerade
(6 4) = 15
(6 5) = 6 gerade
(6 6) = 1
(7 1) = 7
(7 2) = 21
(7 3) = 35
(7 4) = 35
(7 5) = 21
(7 6) = 7
(7 7) = 1
(8 1) = 8 gerade
(8 2) = 28 gerade
(8 3) = 56 gerade
(8 4) = 70 gerade
(8 5) = 56 gerade
(8 6) = 28 gerade
(8 7) = 8 gerade
(8 8) = 1
(9 1) = 9
(9 2) = 36 gerade
(9 3) = 84 gerade
(9 4) = 126 gerade
(9 5) = 126 gerade
(9 6) = 84 gerade
(9 7) = 36 gerade
(9 8) = 9
(9 9) = 1
(10 1) = 10 gerade
(10 2) = 45
(10 3) = 120 gerade
(10 4) = 210 gerade
(10 5) = 252 gerade
(10 6) = 210 gerade
(10 7) = 120 gerade
(10 8) = 45
(10 9) = 10 gerade
(10 10) = 1
(11 1) = 11
(11 2) = 55
(11 3) = 165
(11 4) = 330 gerade
(11 5) = 462 gerade
(11 6) = 462 gerade
(11 7) = 330 gerade
(11 8) = 165
(11 9) = 55
(11 10) = 11
(11 11) = 1
(12 1) = 12 gerade
(12 2) = 66 gerade
(12 3) = 220 gerade
(12 4) = 495
(12 5) = 792 gerade
(12 6) = 924 gerade
(12 7) = 792 gerade
(12 8) = 495
(12 9) = 220 gerade
(12 10) = 66 gerade
(12 11) = 12 gerade
(12 12) = 1
(13 1) = 13
(13 2) = 78 gerade
(13 3) = 286 gerade
(13 4) = 715
(13 5) = 1287
(13 6) = 1716 gerade
(13 7) = 1716 gerade
(13 8) = 1287
(13 9) = 715
(13 10) = 286 gerade
(13 11) = 78 gerade
(13 12) = 13
(13 13) = 1
(14 1) = 14 gerade
(14 2) = 91
(14 3) = 364 gerade
(14 4) = 1001
(14 5) = 2002 gerade
(14 6) = 3003
(14 7) = 3432 gerade
(14 8) = 3003
(14 9) = 2002 gerade
(14 10) = 1001
(14 11) = 364 gerade
(14 12) = 91
(14 13) = 14 gerade
(14 14) = 1
(15 1) = 15
(15 2) = 105
(15 3) = 455
(15 4) = 1365
(15 5) = 3003
(15 6) = 5005
(15 7) = 6435
(15 8) = 6435
(15 9) = 5005
(15 10) = 3003
(15 11) = 1365
(15 12) = 455
(15 13) = 105
(15 14) = 15
(15 15) = 1
(16 1) = 16 gerade
(16 2) = 120 gerade
(16 3) = 560 gerade
(16 4) = 1820 gerade
(16 5) = 4368 gerade
(16 6) = 8008 gerade
(16 7) = 11440 gerade
(16 8) = 12870 gerade
(16 9) = 11440 gerade
(16 10) = 8008 gerade
(16 11) = 4368 gerade
(16 12) = 1820 gerade
(16 13) = 560 gerade
(16 14) = 120 gerade
(16 15) = 16 gerade
(16 16) = 1
(n k)2 = 0 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
<?php
print($_SERVER[HTTP_HOST].$_SERVER[REQUEST_URI]."<br/><br/>");
function getFaculty ( $intN )
{
if ( $intN <= 1 )
{
return 1;
}
for ( $intFaculty = 1; $intN > 1; --$intN )
{
$intFaculty *= $intN;
}
return $intFaculty;
}
$a=0;
for($n=1;$n<=16;$n++){
for($k=1;$k<=16;$k++){
if($n>=$k){
print("<br/>(".$n." ".$k.") = ".(getFaculty($n)/(getFaculty($k)*getFaculty($n-$k))));
$t = (getFaculty($n)/(getFaculty($k)*getFaculty($n-$k)));
if($t%2==0){
print(" <i>gerade</i>");
$a.=" 0";
}
else{
$a.=" 1";
}
}
}
}
print("<br/><br/>(n k)<sub>2</sub> = ".$a);
print("<br/><hr>");
$f=fopen($_SERVER[SCRIPT_FILENAME], "r");
while(!feof($f)){
print(nl2br(htmlspecialchars(fread($f, 1024))));
}
fclose($f);
?>