OFFSET
1,2
FORMULA
One can easily prove that all integers of the form 12...2 are elements of the sequence.
EXAMPLE
122^2=14884 and 221^2=48841.
MATHEMATICA
f[m_Integer] := Module[{w}, w := IntegerDigits[m]; FromDigits[Rest[AppendTo[w, First[w]]]]]; a245584[n_Integer] :=
Select[Range[n], If[f[#]^2 == f[#^2] && ! Mod[#, 10] == 0, True, False] &]; a245584[10^5] (* Michael De Vlieger, Aug 17 2014 *)
PROG
(Python)
import math
max = 10000
print('los')
for n in range(1, max):
nst = str(n*n)
nnewst = nst[1:] + nst[0]
d = int(nnewst)
e = int(math.sqrt(d))
est = str(e)
enewst = est[len(est)-1] + est[:len(est)-1]
if (e * e == d) and (nnewst[0] != "0") and (str(n) == enewst):
print(n, ' ', e)
print('End.')
CROSSREFS
KEYWORD
nonn,base,more
AUTHOR
Reiner Moewald, Jul 26 2014
STATUS
approved