login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A132285
Mirror odd numbers.
4
11, 33, 55, 77, 99, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 3003, 3113, 3223, 3333, 3443, 3553, 3663, 3773, 3883, 3993, 5005, 5115, 5225, 5335, 5445, 5555, 5665, 5775, 5885, 5995, 7007, 7117, 7227, 7337, 7447, 7557, 7667, 7777, 7887
OFFSET
1,1
COMMENTS
Mirror numbers have even number of digits with property that left half digits is mirror of right half digits.
LINKS
FORMULA
A005408 INTERSECT A001637 INTERSECT A002113. - R. J. Mathar, Aug 22 2007
MATHEMATICA
monQ[n_]:=Module[{len=IntegerLength[n], idn=IntegerDigits[n]}, EvenQ[ len] &&Take[idn, len/2]==Reverse[Take[idn, -len/2]]]; Select[Range[11, 9999, 2], monQ] (* Harvey P. Dale, Apr 18 2014 *)
PROG
(PARI) isok(n) = {if (n % 2 == 0, return (0)); d = digits(n); if (#d % 2 == 1, return (0)); for (i=1, #d/2, if (d[i] != d[#d-i+1], return (0)); ); return (1); } \\ Michel Marcus, Nov 05 2013
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Artur Jasinski, Aug 16 2007
STATUS
approved