程序说明
五维体数是帕斯卡三角形的任意一行中第五个数字，从左到右或从右到左开始，起始于5项行1 4 6 4 1。
这种数字的前几个是
1, 5, 15, 35, 70, 126, 210, 330, 495, 715, 1001, 1365
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Pentatope numbers belong in the class of figurate numbers, which can be represented as regular, discrete geometric patterns. The formula for the nth pentatopic number is
$$\left(\begin{array}{c}n+3\ 4\end{array}\right)=\left(\frac{n(n+1)+(n+2)+(n+3)}{24}\right)=\left(\frac{n^2}{4!}\right)$$
Algorithm
Accept the Nth Term from the User to find the Pentotope Numbers.
Use the formula
$$\left(\begin{array}{c}n+3\ 4\end{array}\right)=\left(\frac{n(n+1)+(n+2)+(n+3)}{24}\right)=\left(\frac{n^2}{4!}\right)$$
Example
/* Program to print pentatope numbers upto Nth term */
#include
int main() {
int n, n1, nthterm, nthterm1, i;
clrscr();
printf("
Please enter the nth term to print Pentatope: ");
scanf("%d",&n);
nthterm = n * (n + 1) * (n + 2) * (n + 3) / 24;
printf("The Pentotpe Number is: ");
printf("%d", nthterm);
printf("
");
printf("Printing the Pentotope Numbers upto Nth Term");
printf("
Print Pentatope Numbers till the term: ");
scanf("%d",&n1);
printf("
");
printf("The Pentotope Numbers are:");
printf("
");
for (i = 1; i
