A077437 -id:A077437 - cp's OEIS frontend

A077676 Squares using only squarefree digits (2, 3, 5, 6, 7).

25, 36, 225, 256, 576, 625, 676, 5625, 5776, 7225, 27225, 27556, 37636, 55225, 65536, 75625, 225625, 226576, 235225, 265225, 266256, 275625, 276676, 367236, 525625, 553536, 732736, 765625, 767376, 2322576, 2325625, 2356225, 2637376, 2673225

Offset: 1

Amarnath Murthy, Nov 16 2002

a(n) is == 5 or 6 (mod 10).

Harvey P. Dale, Table of n, a(n) for n = 1..600

Cf. A077674, A077675, A006716. Different from A077437.

sfdsQ[n_]:=Module[{idn=DigitCount[n]},idn[[1]]==idn[[4]]==idn[[8]] == idn[[9]]==idn[[10]]==0]; Select[Range[2000]^2,sfdsQ] (* Harvey P. Dale, Oct 09 2011 *)
Table[Select[FromDigits/@Tuples[{2,3,5,6,7},n],IntegerQ[Sqrt[#]]&],{n,2,7}]//Flatten (* Harvey P. Dale, Feb 04 2015 *)

Corrected and extended by Sascha Kurz, Jan 28 2003

A160109 Numbers k with the property that k^2 uses only nonsquare decimal digits (2,3,5,6,7,8).

Original entry on oeis.org

5, 6, 15, 16, 24, 25, 26, 75, 76, 85, 94, 165, 166, 184, 194, 235, 256, 275, 475, 476, 485, 515, 516, 525, 526, 535, 594, 606, 615, 725, 734, 744, 765, 766, 816, 826, 856, 874, 875, 876, 885, 915, 924, 925, 934, 1524, 1525, 1526, 1535, 1624, 1635, 1665, 1666

Offset: 1

Zak Seidov, May 02 2009

Cf. A077437 (Squares whose decimal digits are nonsquares (2, 3, 5, 6, 7, 8)).

nsdQ[n_]:=Module[{idn=IntegerDigits[n]}, !MemberQ[idn,1] && And@@SquareFreeQ/@idn]; Select[Range[2000],nsdQ[#^2]&]  (* Harvey P. Dale, Feb 01 2011 *)

a(n) = sqrt(A077437(n)).

A160111 Numbers n with property that n, n+1 and n+2 are terms in A160109.

Original entry on oeis.org

24, 874, 1524, 4874, 5124, 48874, 93474, 271524, 506524, 1500874, 1528474, 2373474, 2501524, 2506524, 2526524, 2555124, 7521524, 7531524, 18805124, 24951124, 25005124, 47778474, 153794874, 194506524, 250271524, 515126524

Offset: 1

Zak Seidov, May 02 2009

All terms == 24 mod 50.

			{24, 25, 26}^2 = {576, 625, 676}
{874, 875, 876}^2 = {763876, 765625, 767376}.

Zak Seidov, Table of n,a(n) for n=1..54

Cf. A160109 Numbers n with property that n^2 uses only nonsquare decimal digits (2, 3, 5, 6, 7, 8). A077437 Squares whose decimal digits are nonsquares (2, 3, 5, 6, 7, 8).

Duplicate entries removed from b-file by N. J. A. Sloane, Aug 31 2009

cp's OEIS Frontend

A077676 Squares using only squarefree digits (2, 3, 5, 6, 7).

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A160109 Numbers k with the property that k^2 uses only nonsquare decimal digits (2,3,5,6,7,8).

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Crossrefs

Programs

Mathematica

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A160111 Numbers n with property that n, n+1 and n+2 are terms in A160109.

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