|
Search: id:A069748
|
|
|
| A069748 |
|
Numbers n such that n and n^3 are both palindromes. |
|
+0
4
|
|
| 0, 1, 2, 7, 11, 101, 111, 1001, 10001, 10101, 11011, 100001, 101101, 110011, 1000001, 1001001, 1100011, 10000001, 10011001, 10100101, 11000011, 100000001, 100010001, 100101001, 101000101, 110000011, 1000000001, 1000110001
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
For an arithmetical function f, call the pairs (x,y) such that y = f(x) and x, y are palindromes the "palinpairs" of f. a(n) is then the sequence of abcissae of palinpairs of f(n) = n^3.
Perhaps this sequence is the same as A002780, except for 2201. [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Apr 16 2009]
|
|
EXAMPLE
|
phi(58085) = 46464, so 58085 is a term of the sequence.
|
|
MATHEMATICA
|
isPalin[n_] := (n == FromDigits[Reverse[IntegerDigits[n]]]); Do[m = n^3; If[isPalin[n] && isPalin[m], Print[{n, m}]], {n, 1, 10^6}]
|
|
CROSSREFS
|
Cf. A002780.
Sequence in context: A085315 A002780 A069885 this_sequence A064441 A110949 A126343
Adjacent sequences: A069745 A069746 A069747 this_sequence A069749 A069750 A069751
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Apr 22 2002
|
|
|
Search completed in 0.002 seconds
|
