单词 | Reversal |
释义 | ReversalThe reversal of a decimal number The first few nontrivial examples are 8712, 9801, 87912, 98901, 879912, 989901, 8799912, 9899901, 87128712,87999912, 98019801, 98999901, ... (Sloane's A031877). The pattern continues for large numbers, with numbers of the form The product of a 2-digit number and its reversal is never a Square Number except when the digits are the same(Ogilvy 1988). Numbers whose product is the reversal of the products of their reversals include ![]() ![]() (Ball and Coxeter 1987, p. 14).See also RATS Sequence
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 14-15, 1987. Ogilvy, C. S. and Anderson, J. T. Excursions in Number Theory. New York: Dover, pp. 88-89, 1988. Sloane, N. J. A. Sequence A031877in ``The On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html. |
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