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a(n) is the decimal concatenation of n and n^2.
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%I #46 Sep 08 2022 08:45:00

%S 11,24,39,416,525,636,749,864,981,10100,11121,12144,13169,14196,15225,

%T 16256,17289,18324,19361,20400,21441,22484,23529,24576,25625,26676,

%U 27729,28784,29841,30900,31961,321024,331089,341156,351225,361296,371369,381444,391521

%N a(n) is the decimal concatenation of n and n^2.

%D Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory, American Research Press 2000

%H Georg Fischer, <a href="/A053061/b053061.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = n*(10^floor(2*log_10(n) + 1) + n). - _Henry Bottomley_, May 18 2000

%F a(n) ~ n^3. - _Charles R Greathouse IV_, Sep 19 2012

%t Table[FromDigits[Join[IntegerDigits[n],IntegerDigits[n^2]]],{n,40}] (* _Harvey P. Dale_, May 24 2012 *)

%o (Magma) [Seqint(Intseq(n^2) cat Intseq(n)): n in [1..40]]; // _Vincenzo Librandi_, Jan 03 2015

%o (Python)

%o def a(n): return int(str(n) + str(n*n))

%o print([a(n) for n in range(1, 40)]) # _Michael S. Branicky_, Nov 24 2021

%Y Cf. A020338, A055436, A061086, A175605, A253445.

%K easy,nonn,base

%O 1,1

%A _Felice Russo_, Feb 25 2000

%E More terms from _James A. Sellers_, Feb 28 2000