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 A086457 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. 6
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS All terms of A045953 appear in this sequence. Subsequence of A008851; A045953 and A046851 are subsequences. [Reinhard Zumkeller, Jul 27 2011] Intersection of A008851 and A089951. - Michel Marcus, Mar 19 2015 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 FORMULA A000030(a(n)) = A000030(a(n)^2) and A010879(a(n)) = A010879(a(n)^2). EXAMPLE a(12) = 115 appears in the sequence because 115*115 = 13225. MATHEMATICA 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 *) PROG (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..] -- Reinhard Zumkeller, Jul 27 2011 CROSSREFS Cf. A045953, A086458. Sequence in context: A041214 A228381 A262229 * A046851 A045953 A136830 Adjacent sequences:  A086454 A086455 A086456 * A086458 A086459 A086460 KEYWORD base,easy,nonn AUTHOR Jeremy Gardiner, Jul 20 2003 EXTENSIONS Offset corrected by Reinhard Zumkeller, Jul 27 2011 STATUS approved

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Last modified December 10 16:44 EST 2018. Contains 318049 sequences. (Running on oeis4.)