A079036 -id:A079036 - cp's OEIS frontend

A079035 Squares, not ending in zero, in which all the digits occur in groups of 2 or more.

7744, 5500002244, 11122233444, 8844449977444, 992255544007744, 5599881199880003344, 22233777661111993344, 448855114422552277444, 6633366633992211177744, 8882255222228844776644, 8888224466776699333444, 663336644555994400033344, 771133335566554442222244

Offset: 1

Sudipta Das (juitech(AT)vsnl.net), Feb 01 2003

			a(2) = 5500002244 because the square consists of a group of 2 5's, followed by a group of 4 0's, then 2 2's and finally 2 4's.

Giovanni Resta, Table of n, a(n) for n = 1..76 (terms < 10^38)
Frank Rubin, Repeated Digits

Cf. A079036, A033023.

More terms from Giovanni Resta, Sep 06 2018

A284046 Numbers k, not ending in 0, such that the consecutive digits of k^2 differ by 0 or 1.

Original entry on oeis.org

1, 2, 3, 11, 26, 111, 1111, 11111, 105462, 111111, 460688, 753576, 1111111, 2806538, 3513626, 5858612, 11111111, 23335688, 111111111, 674874474, 8226042716, 2131535935501, 81655720279388

Offset: 1

Giovanni Resta, Mar 19 2017

Equivalently, numbers not ending in 0, whose square belong to A032981.
All members k ending in 1 are generators of infinite numbers of the form k*10^e which satisfy the same property. In a sense, here we list only "primitive" terms, not ending in 0.
a(24) > 10^17, if it exists.

			81655720279388 belongs to this sequence because the consecutive digits of its square, 6667656654345656676777654544, differ by 0 or 1.

Cf. A032981, A048412, A079036.

Select[Range[10^6], Mod[#, 10] > 0 && Max@ Abs@ Differences@ IntegerDigits[ #^2] <= 1 &]

cp's OEIS Frontend

A079035 Squares, not ending in zero, in which all the digits occur in groups of 2 or more.

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A284046 Numbers k, not ending in 0, such that the consecutive digits of k^2 differ by 0 or 1.

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