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Search: id:A073727
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| A073727 |
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Number of distinct-digit integers between squares. |
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+0
1
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| 2, 4, 5, 7, 9, 11, 13, 14, 16, 9, 18, 20, 21, 18, 20, 26, 26, 22, 30, 32, 28, 35, 29, 38, 33, 41, 36, 44, 38, 49, 23, 46, 7, 7, 46, 36, 42, 43, 48, 43, 51, 44, 46, 44, 56, 49, 1, 54, 55, 56, 57, 59, 60, 53, 60, 62, 35, 43, 68, 71, 64, 74, 67, 72, 66, 31, 73, 75, 75, 77, 79, 86
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OFFSET
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1,1
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COMMENT
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The number of distinct-digit integers is finite therefore the sequence contains only zeros after n=31427. The last nonzero terms are a(31420)=492, a(31421)=414, a(31422)=378, a(31423)=648, a(31424)=382, a(31425)=338, a(31426)=720 and a(31427)=0, a(31428)=0...
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EXAMPLE
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a(10)=9 because between 10^2 and 11^2 there are 9 integers with distinct digits: 102, 103, 104, 105, 106, 107, 108, 109, 120.
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MATHEMATICA
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Table[Length[Select[Table[n, {n, x^2+1, (x+1)^2-1}], Length[IntegerDigits[ # ]]==Length[Union[IntegerDigits[ # ]]]&]], {x, 31428}]
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CROSSREFS
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Sequence in context: A049039 A005152 A060831 this_sequence A075692 A112235 A027921
Adjacent sequences: A073724 A073725 A073726 this_sequence A073728 A073729 A073730
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 01 2002
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