login
Numbers obtained by concatenating the squares of the digits of Fibonacci(n).
1

%I #15 Sep 08 2022 08:46:08

%S 1,1,4,9,25,64,19,41,916,2525,6481,11616,499,94949,3610,816449,

%T 1258149,4256416,161641,36493625,10811636,1494911,464362549,163693664,

%U 49250425,1419819,1813616164,91496411,251164481,64940160,19163643681,4149649081,925416254964

%N Numbers obtained by concatenating the squares of the digits of Fibonacci(n).

%H Harvey P. Dale, <a href="/A244558/b244558.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A048385(A000045(n)).

%e For n = 7, Fibonacci(7) = 13 and a(7) = 19, which is the concatenation of the squares of the digits of 13. For n = 14, Fibonacci(14) = 377 and a(14) = 94949.

%t Table[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[Fibonacci[n]]^2)]],{n,40}] (* _Harvey P. Dale_, Jul 31 2018 *)

%o (Magma) [StringToInteger(&cat[IntegerToString(h): h in Reverse([i^2: i in Intseq(Fibonacci(n))])]): n in [1..50]];

%Y Cf. A000045, A048385.

%K nonn,base

%O 1,3

%A _Vincenzo Librandi_, Jul 03 2014