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 A028819 Numbers whose square has its digits in nondecreasing order. 4
 0, 1, 2, 3, 4, 5, 6, 7, 12, 13, 15, 16, 17, 34, 35, 37, 38, 67, 83, 106, 107, 116, 117, 167, 183, 334, 335, 337, 367, 383, 587, 667, 1633, 1667, 3334, 3335, 3337, 3367, 3383, 3667, 4833, 6667, 16667, 33334, 33335, 33337, 33367, 33667, 36667, 66667 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS It appears that from a(53) onwards all terms have nondecreasing digits and has one of the following forms: 16..67, 3..34, 3..35, 3..37, 3..367, 3..36..67, 36..67 and 6..67 and all number of such forms are terms. - Chai Wah Wu, Dec 07 2015 LINKS Charles R Greathouse IV and Chai Wah Wu, Table of n, a(n) for n = 1..422 (n = 1..107 from Charles R Greathouse IV). Patrick De Geest, Palindromic Squares MATHEMATICA okQ[n_]:=And@@(#[[2]]>=#[[1]]&/@Partition[IntegerDigits[n^2], 2, 1]) Select[Range[0, 50000], okQ] (* Harvey P. Dale, Jan 09 2011 *) Select[Range[0, 10^5], LessEqual@@IntegerDigits[#^2]&] (* Ray Chandler, Jan 06 2014 *) PROG (PARI) mono(n)=n=eval(Vec(Str(n))); for(i=2, #n, if(n[i]

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Last modified September 29 04:10 EDT 2023. Contains 365756 sequences. (Running on oeis4.)