1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
...
(좌우 대칭)
이항정리,binomial_theorem
에 의해
(1 + x)
n
=
n
C
0
+
n
C
1
x +
n
C
2
x
2
+ … +
n
C
n
x
n
x = 1을 대입하면
2
n
=
n
C
0
+
n
C
1
+ … +
n
C
n
수,number
s들의 배열이며, 그 수는
이항계수,binomial_coefficient
chk
확장/일반화 by Newton:
https://youtu.be/gMlf1ELvRzc?t=626
삼각형,triangle
Twins:
https://mathworld.wolfram.com/PascalsTriangle.html
http://rosettacode.org/wiki/Pascal's_triangle
(PL 구현)
https://artofproblemsolving.com/wiki/index.php/Pascal's_triangle
http://oeis.org/wiki/Pascal_triangle
그리고 (1,1)-Pascal triangle이 Pascal's triangle, (1,2)-Pascal triangle이 Lucas triangle, .... 일반화?
https://oeis.org/wiki/(a,b)-Pascal_triangle
Retrieved from http://tomoyo.ivyro.net/123/wiki.php/파스칼_삼각형,Pascal_triangle
last modified 2023-08-28 02:34:22