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A102766 Numbers n that can be chopped into two parts, which when added and squared result in n. 5

%I #17 Aug 04 2017 12:03:31

%S 1,81,100,2025,3025,9801,10000,88209,494209,998001,1000000,4941729,

%T 7441984,23804641,24502500,25502500,28005264,52881984,60481729,

%U 99980001,100000000,300814336,493817284,1518037444,6049417284,6832014336

%N Numbers n that can be chopped into two parts, which when added and squared result in n.

%H Henry Ernest Dudeney, <a href="https://archive.org/stream/AmusementsInMathematicspdf/AmusementsInMathematics#page/n29/mode/2up">Amusements in Mathematics</a>, 1917. See problem 113, "The torn number".

%F a(n) = A248353(n)^2.

%e a(7)=88209 as (88+209)^2 = 297^2 = 88209.

%Y Supersequence of A238237.

%K nonn,base

%O 1,2

%A _Bodo Zinser_, Feb 10 2005

%E a(1)=1 prepended by _Max Alekseyev_, Aug 04 2017

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Last modified April 25 05:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)