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Squares whose largest decimal digit is 4.
10

%I #26 Sep 08 2022 08:46:17

%S 4,144,324,400,441,1024,1444,2304,2401,10404,14400,23104,32041,32400,

%T 33124,40000,40401,44100,101124,102400,103041,110224,114244,121104,

%U 131044,144400,203401,204304,213444,230400,232324,240100,300304,301401,421201,1004004

%N Squares whose largest decimal digit is 4.

%C A subsequence of A158082, in turn a subsequence of A000290.

%H Colin Barker, <a href="/A277948/b277948.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A277961(n)^2. - _M. F. Hasler_, Nov 12 2017

%F Intersection of A000290 and A277966. - _M. F. Hasler_, Nov 15 2017

%t Select[Range[1100]^2,Max[IntegerDigits[#]]==4&] (* _Harvey P. Dale_, Jul 01 2017 *)

%o (PARI) L=List(); for(n=1, 10000, if(vecmax(digits(n^2))==4, listput(L, n^2))); Vec(L)

%o (Magma) [n^2: n in [1..1000000] | Maximum(Intseq(n^2)) eq 4]; // _Vincenzo Librandi_, Nov 06 2016

%Y Cf. A000290 (the squares).

%Y Cf. A277961 (square roots of these terms).

%Y Cf. A277946, A277947, A295015, ..., A295019 (analog for largest digit = 2, 3, 5, ..., 9).

%Y Cf. A058412, A058411, ..., A058474 and A136808, A136809, ..., A137147 for other restrictions on digits of squares.

%K nonn,base

%O 1,1

%A _Colin Barker_, Nov 05 2016