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Search: id:A079465
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| A079465 |
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Numbers n such that the "inventory" A063850 of n is a perfect square. |
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+0
1
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| 6, 55, 116, 161, 255, 511, 666, 969, 996, 5311, 9666, 9999, 12255, 12525, 12552, 41199, 41919, 41991, 54246, 54264, 54426, 71177, 71717, 71771, 72255, 72525, 72552, 77117, 77171, 77711, 78055, 83399, 83939, 83993, 89999, 97117, 97171
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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The Inventory Sequences and Self-Inventoried Numbers in www.primepuzzles.net (see Question 7)
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EXAMPLE
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The "inventory" of 511 is 1521 (one "5", two "1"s) = 39^2. Hence 1521 belongs to the sequence.
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MATHEMATICA
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g[n_] := Module[{seen, r, d, l, i, t}, seen = {}; r = {}; d = IntegerDigits[n]; l = Length[d]; For[i = 1, i <= l, i++, t = d[[i]]; If[ ! MemberQ[seen, t], r = Join[r, IntegerDigits[Count[d, t]]]; r = Join[r, {t}]; seen = Append[seen, t]]]; FromDigits[r]]; Select[Range[10^5], IntegerQ[Sqrt[g[ # ]]] &]
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CROSSREFS
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Cf. A063850.
Sequence in context: A085066 A085067 A069508 this_sequence A061792 A066514 A009577
Adjacent sequences: A079462 A079463 A079464 this_sequence A079466 A079467 A079468
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KEYWORD
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base,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 14 2003
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