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A248353
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Kaprekar numbers, allowing powers of 10: n such that n=q+r and n^2=q*10^m+r, for some m >= 1, q>=0 and 0<=r<10^m.
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5
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1, 9, 10, 45, 55, 99, 100, 297, 703, 999, 1000, 2223, 2728, 4879, 4950, 5050, 5292, 7272, 7777, 9999, 10000, 17344, 22222, 38962, 77778, 82656, 95121, 99999, 100000, 142857, 148149, 181819, 187110, 208495, 318682, 329967, 351352, 356643, 390313, 461539
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OFFSET
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1,2
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COMMENTS
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Powers of 10 were excluded in Kaprekar's original definition (A006886), see also A045913.
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LINKS
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FORMULA
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PROG
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(Haskell)
a248353 n = a248353_list !! (n-1)
a248353_list = filter k [1..] where
k x = elem x $ map (uncurry (+)) $
takeWhile ((> 0) . fst) $ map (divMod (x ^ 2)) a011557_list
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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