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 A045953 Numbers m such that m^2 can be obtained from m by inserting an internal block of (contiguous) digits. 5
 0, 1, 10, 11, 95, 96, 100, 101, 125, 976, 995, 996, 1000, 1001, 1025, 1376, 9625, 9976, 9995, 9996, 10000, 10001, 10025, 10376, 10625, 99376, 99625, 99976, 99995, 99996, 100000, 100001, 100025, 100376, 100625, 109376, 990625, 999376, 999625, 999976 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS All terms of this sequence appear in A086457. - Jeremy Gardiner, Jul 20 2003 It seems that for any nonnegative integer k the number of k-digit terms is 2k. - Ivan N. Ianakiev, Aug 17 2021 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..100 J. Knoderer, What number comes next? (an interesting sequence) EXAMPLE 95^2 = 9025 (insert '02' inside '95'). PROG (Haskell) import Data.List (isPrefixOf, inits, isSuffixOf, tails) a045953 n = a045953_list !! (n-1) a045953_list = filter chi a008851_list where chi n = (x == y && xs `isSub'` ys) where x:xs = show \$ div n 10 y:ys = show \$ div (n^2) 10 isSub' us vs = any id \$ zipWith (&&) (map (`isPrefixOf` vs) \$ inits us) (map (`isSuffixOf` vs) \$ tails us) -- Reinhard Zumkeller, Jul 27 2011 CROSSREFS Cf. A046851, A008851, A018834. Sequence in context: A331604 A086457 A046851 * A136830 A153069 A332703 Adjacent sequences: A045950 A045951 A045952 * A045954 A045955 A045956 KEYWORD base,nonn,nice,easy AUTHOR John "MazeMan" Knoderer (Webmaster(AT)Mazes.com) STATUS approved

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Last modified August 15 04:38 EDT 2024. Contains 375172 sequences. (Running on oeis4.)