A031153 -id:A031153 - cp's OEIS frontend

A034905 Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do).

1, 5, 11, 15, 35, 39, 61, 85, 111, 115, 165, 189, 235, 239, 335, 365, 389, 415, 461, 485, 611, 715, 1061, 1085, 1165, 1235, 1239, 1489, 1585, 1665, 1765, 1885, 2261, 2285, 2715, 3335, 3365, 3489, 3511, 3515, 3635, 3711, 3915, 3939, 3965, 4139, 4211, 4715

Offset: 1

J. Lowell

			13^2 = 169 contains a 6 and a 9, so 13 does not belong to the sequence.

Giovanni Resta, Table of n, a(n) for n = 1..10000

Cf. A031153, A001742.

Select[Range[5000],ContainsAll[{1,2,3,5,7},IntegerDigits[#^2]]&] (* Giorgos Kalogeropoulos, Jul 30 2021 *)

A031151 Squares composed of digits {1,2,5}.

Original entry on oeis.org

1, 25, 121, 225, 1225, 1521, 55225, 112225, 212521, 511225, 1525225, 2512225, 5112121, 5221225, 11122225, 152152225, 1111222225, 1155252121, 1222551225, 5225121225, 15211522225, 111112222225, 1212225222121, 1521115222225, 11111122222225, 122212251151225, 152111152222225

Offset: 1

Patrick De Geest

Includes all numbers of the form ((10^k-1)/3 + 2)^2 for k >= 1, of the form (37*(10^k - 1)/3 + 14)^2 for k >= 2, and of the form ((10^k - 1)/3 + 171152)^2 for k >= 10. - Andrew Howroyd, Oct 18 2024

Zhao Hui Du, Table of n, a(n) for n = 1..113
Patrick De Geest, Squares containing at most three distinct digits, Index entries for related sequences

Cf. A031153.

Select[Range[0,10^6]^2, SubsetQ[{1,2,5}, DeleteDuplicates[IntegerDigits[#]]]&] (* Stefano Spezia, Mar 09 2024 *)

a(n) = A031153(n)^2. - Andrew Howroyd, Oct 18 2024

a(24)-a(27) from Stefano Spezia, Mar 09 2024

A119101 Triangular numbers composed of digits {1,2,5}.

Original entry on oeis.org

1, 15, 21, 55, 1225, 2211, 5151, 15225, 21115, 22155, 151525, 222111, 255255, 11551221, 12552555, 21115251, 22221111, 51151555, 111221155, 251115255, 2222211111, 2552515525, 111251152551, 122515222515, 222222111111, 1125152255151, 2522551111515, 5255121522225

Offset: 1

Giovanni Resta, May 10 2006

Giovanni Resta, Tridigital Triangular Numbers

Cf. A000217, A031153, A119102. See A119033 for a table of cross-references.

a(n) = A000217(A119102(n)). - Michel Marcus, Mar 22 2023

a(26)-a(28) from Tyler Busby, Mar 22 2023

A137002 Numbers k such that k and k^2 use only the digits 1, 2 and 5.

Original entry on oeis.org

1, 5, 11, 15

Offset: 1

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

Sequence terminates.
Generated with DrScheme.
Numbers appearing in A131082; subsequence of A031153, A137003. - M. F. Hasler, Jan 24 2008

			15^2 = 225.

Jonathan Wellons, Tables of Shared Digits [archived]

Cf. A031153, A131082, A136986, A137003.

cp's OEIS Frontend

A034905 Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do).

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A031151 Squares composed of digits {1,2,5}.

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A119101 Triangular numbers composed of digits {1,2,5}.

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A137002 Numbers k such that k and k^2 use only the digits 1, 2 and 5.

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