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A086457
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Both n and n^2 have the same initial digit and also n and n^2 have the same final digit when expressed in base 10.
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6
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0, 1, 10, 11, 95, 96, 100, 101, 105, 106, 110, 111, 115, 116, 120, 121, 125, 126, 130, 131, 135, 136, 140, 141, 895, 896, 950, 951, 955, 956, 960, 961, 965, 966, 970, 971, 975, 976, 980, 981, 985, 986, 990, 991, 995, 996, 1000, 1001, 1005, 1006, 1010, 1011
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OFFSET
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1,3
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COMMENTS
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All terms of A045953 appear in this sequence.
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LINKS
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FORMULA
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EXAMPLE
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a(12) = 115 appears in the sequence because 115*115 = 13225.
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MATHEMATICA
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ldQ[n_]:=Module[{idn=IntegerDigits[n], idn2=IntegerDigits[n^2]}, First[ idn] == First[idn2]&&Last[idn]==Last[idn2]]; Select[Range[ 0, 1100], ldQ] (* Harvey P. Dale, Feb. 06 2011 *)
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PROG
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(BASIC)
left$(str$(n), 1) = left$(str$(n^2), 1) AND right$(str$(n), 1) = right$(str$(n^2), 1)
(Haskell)
a086457 n = a086457_list !! (n-1)
a086457_list = filter (\x -> a000030 x == a000030 (x^2) &&
a010879 x == a010879 (x^2)) [0..]
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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