A visual proof for the sum of the first n squares and for the sum of the first n factorials of order two

被引：3
|
作者：
Goldoni, G
机构：
[1] Civico Planetario “F. Martino”,
来源：
MATHEMATICAL INTELLIGENCER | 2002年 / 24卷 / 04期
关键词：
Pyramid; Mathematical Intelligencer; Optimal Probability; Random Strategy; Antipodal Point;
D O I：
10.1007/BF03025326
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：67 / 69
页数：3
相关论文
共 50 条
  • [11] Visual Estimation of Sum of First n Triangular, Tetrahedral and Pentatope Numbers
    Mukherjee, Rajib
    Chakraborty, Manishita
    RESONANCE-JOURNAL OF SCIENCE EDUCATION, 2021, 26 (07): : 1007 - 1013
  • [12] SUM OF SQUARES (MOD N)
    MCFARLAND, RL
    AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (01): : 61 - 61
  • [13] SUM OF KTH POWERS OF FIRST N INTEGERS
    PAUL, JL
    AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (03): : 271 - &
  • [14] On the sum of the first n values of the Euler function
    Balasubramanian, R.
    Luca, Florian
    Ralaivaosaona, Dimbinaina
    ACTA ARITHMETICA, 2014, 163 (03) : 199 - 201
  • [15] On the sum of the first n primes being a square
    F. Luca
    Lithuanian Mathematical Journal, 2007, 47 : 243 - 247
  • [16] On the sum of the first n primes being a square
    Luca, F.
    LITHUANIAN MATHEMATICAL JOURNAL, 2007, 47 (03) : 243 - 247
  • [17] SQUARES EXPRESSIBLE AS A SUM OF N CONSECUTIVE SQUARES
    LOSSERS, OP
    MATTICS, LE
    AMERICAN MATHEMATICAL MONTHLY, 1990, 97 (07): : 622 - 625
  • [18] Representing Integers as the Sum of Two Squares in the Ring Z(n)
    Harrington, Joshua
    Jones, Lenny
    Lamarche, Alicia
    JOURNAL OF INTEGER SEQUENCES, 2014, 17 (07)
  • [19] REPRESENTING (2N-N) AS A SUM OF SQUARES
    ROBBINS, N
    FIBONACCI QUARTERLY, 1987, 25 (01): : 29 - 33
  • [20] 102.20 The sum of the first n cubes is a square - two Proofs without Words
    Berendonk, Stephan
    MATHEMATICAL GAZETTE, 2018, 102 (554): : 308 - 308
12345