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 A228103 Numbers n whose base-10 digits can be split into two parts, q and r, with n = (q-r)^2. 2
 100, 121, 6084, 10000, 10201, 82369, 132496, 1000000, 1002001, 1162084, 1201216, 1656369, 1860496, 100000000, 100020001, 123121216, 330621489, 10000000000, 10000200001, 13967221489, 113322449956, 1000000000000, 1000002000001, 1786590449956, 7438023471076, 100000000000000, 100000020000001, 161983503471076, 366292019505049, 553633229065744, 674650026648676, 9553960107298321, 10000000000000000, 10000000200000001 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS q*10^m+r = (q-r)^2; q,m>0; 0<=r<10^m = A228381^2 - Hans Havermann, Aug 21 2013 LINKS Hans Havermann, Table of n, a(n) for n = 1..1016 Daniel Joyce, Robert Israel and Lars Blomberg, Can more of these terms be found? J. B. Wood, Quick Solution to Puzzle? EXAMPLE 100 = (10-0)^2. 121 = (12-1)^2. 6084 = (6-084)^2. MATHEMATICA k=3; While[k<10^8, k++; s=k^2; d=IntegerDigits[s]; l=Length[d]; Do[a=FromDigits[Take[d, {1, i}]]; b=FromDigits[Take[d, {i+1, l}]]; If[k==Abs[a-b], w=ToString[s]; Print[StringTake[w, {1, i}], "'", StringTake[w, {i+1, l}]]], {i, l-1}]] (* Hans Havermann, Aug 10 2013, Aug 20 2013 *) CROSSREFS Cf. A102766, A118936, A228381. Sequence in context: A143919 A071987 A095633 * A331543 A063009 A066139 Adjacent sequences:  A228100 A228101 A228102 * A228104 A228105 A228106 KEYWORD nonn,base AUTHOR Hans Havermann, Aug 10 2013 STATUS approved

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Last modified September 19 00:22 EDT 2021. Contains 347549 sequences. (Running on oeis4.)