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A117756 Squares for which the reversed sum of the digits is also a square. 0

%I #12 Jan 15 2016 15:06:05

%S 0,1,4,9,36,64,81,100,121,144,225,324,361,400,441,576,729,900,1089,

%T 1225,1296,1521,1764,2025,2116,2304,2601,2916,3025,3249,3600,4356,

%U 4761,5041,5184,5625,6084,6400,6561,7056,8100,9216,9801,10000,10201,10404,11025

%N Squares for which the reversed sum of the digits is also a square.

%e 729 is in the sequence because (1)it is a square, (2)the sum of its digits is 7+2+9=18 and (3)18 reversed is 81, which is a square.

%t Select[Range[105]^2, IntegerQ@ Sqrt@ FromDigits@ Reverse@ IntegerDigits@ # &[Total@ IntegerDigits@ #] &] (* _Michael De Vlieger_, Jan 15 2016 *)

%o (PARI) isok(n) = issquare(n) && issquare(eval(concat( Vecrev(Str(sumdigits(n)))))); \\ _Michel Marcus_, Jan 15 2016

%Y Cf. A053057 (squares whose digit sum is also a square.

%K base,nonn

%O 0,3

%A Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006

%E a(34) corrected by _Vincenzo Librandi_, Jan 15 2016

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Last modified July 7 08:10 EDT 2024. Contains 374069 sequences. (Running on oeis4.)