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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035126 Squares when digits rotated right once remain square. 4
1, 4, 9, 256, 441, 961, 16641, 48841, 61009, 66564, 1127844, 2537649, 3857296, 4932841, 182682256, 298840369, 342842256, 392872041, 493772841, 787588096, 877996161, 10766967696, 33255899044, 49382172841, 74825772849 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Those resulting in leading zeros excluded.

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..1838

Eric Weisstein's World of Mathematics, Square Number

FORMULA

a(n) = A045877(n)^2. - R. J. Mathar, Jan 25 2017

EXAMPLE

2221^2 = 4932841 -> 1493284 = 1222^2. Note that the root behaves accordingly!

MATHEMATICA

Select[Range[300000]^2, IntegerQ[Sqrt[FromDigits[RotateRight[ IntegerDigits[ #]]]]]&] (* Harvey P. Dale, Mar 22 2015 *)

PROG

(MAGMA) [k:k in [m^2:m in [1..10^6]]| IsSquare(Seqint( (Intseq(Floor(k/10)) cat  [ Intseq(k)[1]])))]; // Marius A. Burtea, Oct 08 2019

(Python)

from itertools import count, islice

from sympy.solvers.diophantine.diophantine import diop_DN

def A035126_gen(): # generator of terms

    for l in count(0):

        l1, l2 = 10**(l+1), 10**l

        yield from sorted(set(x**2 for z in (diop_DN(10, m*(1-l1)) for m in range(10)) for x, y in z if l1 >= x**2 >= l2))

A035126_list = list(islice(A035126_gen(), 30)) # Chai Wah Wu, Apr 23 2022

CROSSREFS

Cf. A045877, A035130.

Sequence in context: A299122 A167657 A175700 * A178454 A051671 A109103

Adjacent sequences:  A035123 A035124 A035125 * A035127 A035128 A035129

KEYWORD

nonn,base

AUTHOR

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 02:38 EDT 2022. Contains 354092 sequences. (Running on oeis4.)