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A048391 Replacing digits d in decimal expansion of n with d^3 yields a square. 2

%I #9 Apr 15 2019 16:22:45

%S 0,1,4,9,21,100,400,561,900,2100,8821,10000,11221,17821,40000,56100,

%T 73221,90000,210000,211201,518041,882100,1000000,1001614,1002621,

%U 1012021,1012224,1122100,1302801,1782100,4000000,5012214,5610000

%N Replacing digits d in decimal expansion of n with d^3 yields a square.

%e E.g. 518041 = (5)(1)(8)(0)(4)(1) -> (125)(1)(512)(0)(64)(1) = 12515120641 = 111871^2 and a square.

%t Select[Range[0,561*10^4],IntegerQ[Sqrt[FromDigits[Flatten[ IntegerDigits/@ (IntegerDigits[ #]^3)]]]]&] (* _Harvey P. Dale_, Apr 15 2019 *)

%o (PARI) ccd(n) = {if (n==0, return(0)); my(d = digits(n)); my(nd = ""); for (i=1, #d, nd = Str(nd, d[i]^3);); eval(nd);}

%o isok(n) = issquare(ccd(n)); \\ _Michel Marcus_, Oct 19 2016

%Y Cf. A048390, A048392.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, Mar 15 1999

%E Offset corrected by _Michel Marcus_, Oct 19 2016

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)