A277948 Squares whose largest decimal digit is 4.

4, 144, 324, 400, 441, 1024, 1444, 2304, 2401, 10404, 14400, 23104, 32041, 32400, 33124, 40000, 40401, 44100, 101124, 102400, 103041, 110224, 114244, 121104, 131044, 144400, 203401, 204304, 213444, 230400, 232324, 240100, 300304, 301401, 421201, 1004004

Offset: 1

Author

Colin Barker, Nov 05 2016

Keywords

• nonn
• base

Comments

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

Links

• Colin Barker, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000290 (the squares).

Cf. A277961 (square roots of these terms).

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

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

Programs

Magma

[n^2: n in [1..1000000] | Maximum(Intseq(n^2)) eq 4]; // Vincenzo Librandi, Nov 06 2016

Mathematica

Select[Range[1100]^2,Max[IntegerDigits[#]]==4&] (* Harvey P. Dale, Jul 01 2017 *)

PARI

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

Formula

a(n) = A277961(n)^2. - M. F. Hasler, Nov 12 2017

Intersection of A000290 and A277966. - M. F. Hasler, Nov 15 2017