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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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In this paper we study the sequences defined by the last and the last non-zero digits of nn in base b. For the sequence given by the last digits of nn in base b, we prove its periodicity using different techniques than those used by W. Sierpinski and R. Hampel. In the case of the sequence given by the last non-zero digits of nn in base b (which had been studied only for b = 10) we show the non-periodicity of the sequence when b is an odd prime power and when it is even and square-free. We also show that if b = 22s the sequence is periodic and conjecture that this is the only such case.
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참고문헌 (14)
참고문헌 신청
D. B. Shapiro / 2007 / Iterated exponents in number theory / Integers 7 (A23) : 19 ~
D. D. Wall / 1960 / Fibonacci series modulo m / Amer. Math. Monthly 67 : 525 ~ 532
D. W. Robinson / 1963 / The Fibonacci matrix modulom / Fibonacci Quart 1 (2) : 29 ~ 36
G. Dresden / 2001 / Two irrational numbers from the last nonzero digits of nn and n / Math. Mag 74 : 316 ~ 320
G. Dresden / 2008 / Three transcendental numbers from the last non-zero digits of nn / Fn, and n, Math. Mag 81 (2) : 96 ~ 105
D. D. Wall / 1960 / Fibonacci series modulo m / Amer. Math. Monthly 67 : 525 ~ 532
D. W. Robinson / 1963 / The Fibonacci matrix modulom / Fibonacci Quart 1 (2) : 29 ~ 36
G. Dresden / 2001 / Two irrational numbers from the last nonzero digits of nn and n / Math. Mag 74 : 316 ~ 320
G. Dresden / 2008 / Three transcendental numbers from the last non-zero digits of nn / Fn, and n, Math. Mag 81 (2) : 96 ~ 105
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