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
KEYWORD
base,nonn,nice,easy
AUTHOR
John "MazeMan" Knoderer (Webmaster(AT)Mazes.com)
STATUS
approved