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A056528 Sum of digits of square of sum of digits of square. 2

%I #8 Mar 07 2018 19:22:25

%S 1,7,9,13,13,9,16,1,9,1,7,9,13,13,9,16,10,9,1,7,9,13,13,9,16,10,9,10,

%T 16,9,13,13,9,16,1,9,10,16,9,13,13,9,16,10,9,1,16,9,13,13,9,16,10,9,1,

%U 16,9,13,13,9,16,10,18,10,16,9,13,13,9,16,1,9,10,16,9,13,13,9,16,1,9

%N Sum of digits of square of sum of digits of square.

%F a(n)=A004159(A004159(n))

%e a(2)=7 because sum of digits of square of 2 is 4 and sum of digits of square of 4 is 1+6=7

%t Array[Total[IntegerDigits[(Total[IntegerDigits[#^2]])^2]]&,90] (* _Harvey P. Dale_, Jan 17 2012 *)

%t Table[Nest[Total[IntegerDigits[#^2]]&,n,2],{n,90}] (* _Harvey P. Dale_, Mar 07 2018 *)

%Y Cf. A004159 for sum of digits of square, A056020 where iteration settles to 1, A056020 where iteration settles to 9, A056527 where iteration settles to 13 and 16. See also A056529.

%K base,easy,nonn

%O 1,2

%A _Henry Bottomley_, Jun 19 2000

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