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 A001102 Numbers k such that k / (sum of digits of k) is a square. 7
 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 24, 36, 48, 81, 100, 144, 150, 192, 200, 225, 288, 300, 320, 324, 375, 400, 441, 500, 512, 600, 640, 648, 700, 704, 735, 800, 832, 882, 900, 960, 1014, 1088, 1200, 1452, 1458, 1521, 1815, 2023 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is infinite since if m = 10^(2*j) then m / digitsum(m) = m. - Marius A. Burtea, Dec 21 2018 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 FORMULA a(n) mod A007953(a(n)) = 0 and A010052(a(n) / A007953(a(n))) = 1. - Reinhard Zumkeller, Aug 17 2011 MATHEMATICA Select[Range[2200], IntegerQ[Sqrt[#/Total[IntegerDigits[#]]]]&] (* Harvey P. Dale, Feb 25 2012 *) PROG (Haskell) a001102 n = a001102_list !! (n-1) a001102_list = filter (\x -> a010052 (x `div` (a007953 x)) == 1) a005349_list -- Reinhard Zumkeller, Aug 17 2011 (Magma) [n: n in [1..1000] | IsIntegral(n/(&+Intseq(n))) and IsSquare(n/(&+Intseq(n)))]; // Marius A. Burtea, Dec 21 2018 CROSSREFS Subsequence of Niven numbers (A005349); cf. A028839. Sequence in context: A346535 A227224 A236750 * A051004 A032575 A038186 Adjacent sequences: A001099 A001100 A001101 * A001103 A001104 A001105 KEYWORD nonn,base,nice AUTHOR N. J. A. Sloane, Bill Moran (moran1(AT)llnl.gov) STATUS approved

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Last modified March 29 10:22 EDT 2023. Contains 361598 sequences. (Running on oeis4.)