A133901 -id:A133901 - cp's OEIS frontend

A319482 a(n) = A133901(n)^2.

1089, 9801, 1252409430321, 102230321074203012201, 123452123498421034321, 10223212100654001012201, 1022341432329642141232201, 1232342014329624300232321, 102234323212287620121232201, 10022030122010722200301022001, 10022230363212962214501222001

Offset: 1

Seiichi Manyama, Sep 20 2018

Non-palindromic squares in A319483.

			b(n) = reverse of a(n).
n | A133901(n) |           a(n) |           b(n) | Root of b(n) |
--+------------+----------------+----------------+--------------+
1 |        33  |          1089  |          9801  |          99  |
2 |        99  |          9801  |          1089  |          33  |
3 |   1119111  | 1252409430321  | 1230349042521  |     1109211  |

Cf. A002113, A133901, A319388, A319483.

A128921 Palindromes m such that reverse of m^2 is also a square.

Original entry on oeis.org

0, 1, 2, 3, 11, 22, 33, 99, 101, 111, 121, 202, 212, 1001, 1111, 2002, 10001, 10101, 10201, 11011, 11111, 11211, 20002, 20102, 100001, 101101, 110011, 111111, 200002, 1000001, 1001001, 1002001, 1010101, 1011101, 1012101, 1100011, 1101011

Offset: 1

Zak Seidov, Mar 02 2005, definition corrected Sep 16 2007

Most terms have a palindromic square; for the rare exceptions see A133901. - Klaus Brockhaus and Zak Seidov, Sep 29 2007

			33 and 99 are terms because 33^2=1089 => 9801=99^2 and 99^2=9801 => 1089=33^2.

Klaus Brockhaus, Table of n, a(n) for n = 1..360

Cf. A002113, A057135, A057136, A133901.

A128921=Select[Range[0, 100000], IntegerQ[Sqrt[FromDigits[Reverse[IntegerDigits[ #^2 ]]]]]&&FromDigits[Reverse[IntegerDigits[ # ]]]==#&]

from sympy.ntheory.primetest import is_square
from itertools import chain, count, islice
def A128921_gen(): # generator of terms
    return filter(lambda n:is_square(int(str(n**2)[::-1])),chain((0,),chain.from_iterable(chain((int((s:=str(d))+s[-2::-1]) for d in range(10**l,10**(l+1))), (int((s:=str(d))+s[::-1]) for d in range(10**l,10**(l+1)))) for l in count(0))))
A128921_list = list(islice(A128921_gen(),20)) # Chai Wah Wu, Jun 23 2022

More terms from Klaus Brockhaus, Sep 23 2007

cp's OEIS Frontend

A319482 a(n) = A133901(n)^2.

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A128921 Palindromes m such that reverse of m^2 is also a square.

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