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A050741 Numbers k such that the decimal expansion of k^2 contains no pair of consecutive equal digits. 4
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 36, 37, 39, 41, 42, 43, 44, 45, 48, 49, 51, 52, 53, 54, 55, 56, 57, 59, 61, 63, 64, 66, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 81, 82, 84, 86, 87, 89, 91, 92, 93, 95, 96, 97 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Zak Seidov and Michael De Vlieger, Table of n, a(n) for n = 1..10471, a(n) < 25,000 (First 1057 terms from Zak Seidov)

EXAMPLE

10 is absent because 10^2=100 with repeating 0,

12 is absent because 12^2=144 with repeating 4,

21 is absent because 21^2=441 with repeating 4.

MATHEMATICA

Select[Range[0, 97], FreeQ[Differences[IntegerDigits[#^2]], 0]&] (* Jayanta Basu, May 31 2013 *)

CROSSREFS

Cf. A043096, A050749, A135463, A134962.

Sequence in context: A191841 A331125 A318736 * A285710 A305669 A325364

Adjacent sequences:  A050738 A050739 A050740 * A050742 A050743 A050744

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1999

EXTENSIONS

Edited by N. J. A. Sloane, Mar 16 2008

STATUS

approved

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Last modified December 2 23:30 EST 2021. Contains 349445 sequences. (Running on oeis4.)