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A045877 Rotating digits of a(n)^2 right once still yields a square. 4
1, 2, 3, 16, 21, 31, 129, 221, 247, 258, 1062, 1593, 1964, 2221, 13516, 17287, 18516, 19821, 22221, 28064, 29631, 103764, 182362, 222221, 273543, 1246713, 1509437, 1635219, 1856538, 2222221, 2253804, 2749249, 2784807, 11619096, 11949507 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Squares resulting in leading zeros excluded.
(2*10^k-11)/9 are terms, i.e. A165402 is a subsequence. - Chai Wah Wu, Apr 23 2022
LINKS
Eric Weisstein's World of Mathematics, Square Number
EXAMPLE
13516^2 = 18268225{6} -> {6}18268225 = 24865^2.
PROG
(Python)
from itertools import count, islice
from sympy.solvers.diophantine.diophantine import diop_DN
def A045877_gen(): # generator of terms
for l in count(0):
l1, l2 = 10**(l+1), 10**l
yield from sorted(set(abs(x) for z in (diop_DN(10, m*(1-l1)) for m in range(10)) for x, y in z if l1 >= x**2 >= l2))
A045877_list = list(islice(A045877_gen(), 30)) # Chai Wah Wu, Apr 23 2022
CROSSREFS
Sequence in context: A122656 A171458 A044905 * A261840 A100643 A067037
KEYWORD
nonn,base
AUTHOR
EXTENSIONS
More terms from Patrick De Geest, Nov 15 1998
STATUS
approved

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Last modified April 21 04:17 EDT 2024. Contains 371850 sequences. (Running on oeis4.)