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).

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.

• Cantor Function
• Cantor's Equation
• Cantor Set
• Cantor's Paradox
• Cantor Square Fractal
• Cantor's Theorem
• Cap
• Capacity
• Capacity Dimension
• Carathéodory Derivative
• Carathéodory's Fundamental Theorem
• Cardano's Formula
• Cardinality
• Cardinal Number
• Cardioid
• Cardioid Caustic
• Cardioid Evolute
• Cardioid Inverse Curve
• Cardioid Involute
• Cardioid Pedal Curve
• Cards
• Carleman's Inequality
• Carlson-Levin Constant
• Carlson's Theorem
• Carlyle Circle