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Search: id:A106649
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| A106649 |
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Replace each digit d (except leading one) of n by 9-d. |
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+0
10
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 79, 78, 77
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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By definition, one-digit numbers do not change. Differs from A003100 starting with a(21)=29: A003100(21)=20. A003100={0,1,2,3,4,5,6,7,8,9,19,18,17,16,15,14,13,12,11,10,20,21,22,23,24,25,26,27,28,29,39,38,37,36,35,34,33,32,31,30,40,41,42, 43,44,45,46,47,48,49}: Decimal Gray code for n.
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LINKS
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Index entries for sequences that are permutations of the natural numbers
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FORMULA
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a(n) = if n < 10 then n else 2*a(floor(n/2)) + 9 - n mod 10; a self-inverse permutation of the natural numbers, A115310(n+8, 9) = a(n) for n>0. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2006
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MATHEMATICA
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a[n_]:=FromDigits[Flatten[{IntegerDigits[n][[1]], Map[9-#&, Drop[IntegerDigits[n], 1]]}]]; Table[a[n], {n, 0, 100}]
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CROSSREFS
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Cf. A003100.
Cf. A054429, A115303, A115304, A115305, A115306, A115307, A115308, A115309.
Sequence in context: A003100 A118757 A118758 this_sequence A087121 A087052 A117241
Adjacent sequences: A106646 A106647 A106648 this_sequence A106650 A106651 A106652
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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), May 12 2005
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