渭南师范学院学报Issue(4):9-12,4.
杨辉三角的若干性质研究
Some Properties of Yang Hui’ s Triangle
摘要
Abstract
Yang Hui’ s triangle is a kind of geometric arrangement of binomial coefficients in a triangle. Further research on this issue was studied by elementary methods and congruence arithmetic in this paper, and came to the conclusions that the numbers of binomial coefficients of Yang Hui’ s triangle in row a which was divisible by prime number p , the numbers of triangles from line 0 to line a which was divisible by prime number p , and the number of binomial coefficients on each seleme which was divisible by prime number p .关键词
杨辉三角/素数/二项式系数/同余式Key words
Yang Hui’ s triangle/prime number/binomial coefficient/congruence expression分类
数理科学引用本文复制引用
杨明顺..杨辉三角的若干性质研究[J].渭南师范学院学报,2016,(4):9-12,4.基金项目
陕西省教育厅科研计划项目:关于 F. Smarandache 数论问题的计算机辅助研究(2013JK1165) (2013JK1165)
陕西省扶持学科数学学科基金资助项目(14SXZD007) (14SXZD007)
渭南师范学院科研计划项目:数论函数及其在大数据处理方面的应用研究(15YKF005) (15YKF005)
渭南师范学院教育教学改革研究项目:《复变函数》课程建设的研究与实践( JG201531) ( JG201531)
渭南师范学院教育科学研究项目:协同创新下师范生职业技能的培养(2015JYKX016) (2015JYKX016)