Powers of integers with arithmetic tables
Any powers of $11$ are easily obtained from the Pascal triangle. In this work we study powering and negative powering of any $k$ digit integers by means of certain arithmetic tables.
Subject classification11Dxx, 11B39
G. Farkas and G. Kallos, Prime numbers in generalized Pascal triangles, Acta Technica Jaurinensis 1 (2008), 109–117. (Google Scholar)
J. Jo, Y. Oh, and E. Choi, Arithmetic matrix of quadratic polynomial with negative exponent by Pascal matrix, J. Alg and Appl. Math. 17 (2019), 67–90. (Google Scholar)
G. Kallos, The generalization of Pascal’s triangle from algebraic point of view, Acta Acad. Paedagogicae Agriensis, Sectio Mathematicae, 24 (1997), 11–18. (Google Scholar)
G. Kallos, A Generalization of Pascal’s triangle using powers of base numbers, Ann. Math. Blaise Pascal 13 (2006), 1–15. (Google Scholar)
C. J. Lacke, Powers of eleven in Pascal’s triangle, Mathematics and Computer Education (2002), 28–30. (Google Scholar)
L. LOW, Even more on Pascal’s triangles and powers of 11, Math. Teacher 59 (1966), 461–463. (Google Scholar)
R.L. Morton, Pascal’s triangle and Powers of 11, Math. Teacher 57 (1964), 392–394. (Google Scholar)
F.J. Mueller, More on Pascal’s triangle and powers of 11, Math. Teacher 58 (1965), 425–428. (Google Scholar)
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