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单词 Palindromic Number
释义

Palindromic Number

A symmetrical number which is written in some base as . The first few are 0, 1, 2, 3, 4,5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, ... (Sloane's A002113).


The first few for which the Pronic Number is palindromic are 1, 2, 16, 77, 538, 1621, ... (Sloane's A028336),and the first few palindromic numbers which are Pronic are 2, 6, 272, 6006, 289982, ...(Sloane's A028337). The first few numbers whose squares are palindromic are 1, 2, 3, 11, 22, 26, ... (Sloane's A002778), and thefirst few palindromic squares are 1, 4, 9, 121, 484, 676, ... (Sloane's A002779).

See also Demlo Number, Palindromic Number Conjecture, Reversal


References

De Geest, P. ``Palindromic Products of Two Consecutive Integers.'' http://www.ping.be/~ping6758/consec.htm.

De Geest, P. ``Palindromic Squares.'' http://www.ping.be/~ping6758/square.htm.

Pappas, T. ``Numerical Palindromes.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 146, 1989.

Sloane, N. J. A.A028336,A028337 A002113/M0484,A002778/M0907, andA002779/M3371in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.


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更新时间:2024/11/14 18:28:06