The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A029733 Numbers k such that k^2 is palindromic in base 16. 12
 0, 1, 2, 3, 17, 34, 257, 273, 289, 305, 319, 514, 530, 546, 773, 1377, 4097, 4369, 4641, 8194, 8254, 8466, 8734, 9046, 51629, 65537, 65793, 66049, 66305, 69649, 69905, 70161, 70417, 73505, 73761, 74017, 74273, 76879, 92327, 131074 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..100 Patrick De Geest, Palindromic numbers beyond base 10 MATHEMATICA n2palQ[n_]:=Module[{id=IntegerDigits[n^2, 16]}, id==Reverse[id]]; Select[ Range[ 0, 150000], n2palQ] (* Harvey P. Dale, Mar 31 2018 *) PROG (Python) from itertools import count, islice def A029733_gen(): # generator of terms return filter(lambda k: (s:=hex(k**2)[2:])[:(t:=(len(s)+1)//2)]==s[:-t-1:-1], count(0)) A029733_list = list(islice(A029733_gen(), 20)) # Chai Wah Wu, Jun 23 2022 CROSSREFS Numbers k such that k^2 is palindromic in base b: A003166 (b=2), A029984 (b=3), A029986 (b=4), A029988 (b=5), A029990 (b=6), A029992 (b=7), A029805 (b=8), A029994 (b=9), A002778 (b=10), A029996 (b=11), A029737 (b=12), A029998 (b=13), A030072 (b=14), A030073 (b=15), this sequence (b=16), A118651 (b=17). Sequence in context: A193051 A217688 A263570 * A153686 A042137 A067976 Adjacent sequences: A029730 A029731 A029732 * A029734 A029735 A029736 KEYWORD nonn,base AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 8 01:34 EST 2023. Contains 360133 sequences. (Running on oeis4.)