The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A045878 Numbers k such that rotating digits of k^2 left once still yields a square. 4
 1, 2, 3, 12, 14, 25, 108, 122, 216, 310, 1222, 2028, 2527, 3042, 11802, 12222, 13704, 24865, 25185, 26053, 30494, 122222, 208148, 247137, 312222, 1125786, 1222222, 1325080, 2084388, 2551071, 3025794, 3037736, 3126582, 10716846, 10787208 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Squares resulting in leading zeros are excluded. A090843 is a subsequence. - Chai Wah Wu, Apr 23 2022 LINKS Table of n, a(n) for n=1..35. Eric Weisstein's World of Mathematics, Square Number EXAMPLE 11303148^2 = {1}27761154709904 -> 277611547099041{1} = 16661679^2. MATHEMATICA rlsQ[n_]:=Module[{idnrl=RotateLeft[IntegerDigits[n^2]]}, First[idnrl]>0 && IntegerQ[Sqrt[FromDigits[idnrl]]]]; Select[Range[11000000], rlsQ] (* Harvey P. Dale, Nov 03 2013 *) PROG (Python) from itertools import count, islice from sympy.solvers.diophantine.diophantine import diop_DN def A045878_gen(): # generator of terms for l in count(0): l1, l2 = 10**(l+1), 10**l yield from sorted(set(abs(y) for z in (diop_DN(10, m*(1-l1)) for m in range(10)) for x, y in z if l1 >= x**2 >= l2)) A045878_list = list(islice(A045878_gen(), 30)) # Chai Wah Wu, Apr 23 2022 CROSSREFS Cf. A000290, A045877, A035129, A090843. Sequence in context: A291565 A299545 A068603 * A295398 A138321 A015756 Adjacent sequences: A045875 A045876 A045877 * A045879 A045880 A045881 KEYWORD nonn,base AUTHOR Erich Friedman EXTENSIONS More terms from Patrick De Geest, Nov 15 1998 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 May 18 15:24 EDT 2024. Contains 372664 sequences. (Running on oeis4.)