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A106742
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a[n] =a[a[a[a[a[n - a[n-1]]]]]] + a[n - a[n-2]].
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1
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1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| A sixth-order recursion based on Hofstadter's Q-sequence A005185.
Different from A087839 - see comments in that entry.
Different from A106733.
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MATHEMATICA
| Hofstadter1[1] = Hofstadter1[2] = 1; Hofstadter1[n_Integer?Positive] := Hofstadter1[n] = Hofstadter1[Hofstadter1[Hofstadter1[Hofstadter1[Hofstadter1[n - Hofstadter1[n - 1]]]]]] + Hofstadter1[ n - Hofstadter1[n - 2]]; a = Table[Hofstadter1[n], {n, 1, digits}]
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CROSSREFS
| Cf. A087842, A005185, A087836, A004001, A087839, A106733.
Sequence in context: A130241 A130247 A087839 * A106733 A087838 A057627
Adjacent sequences: A106739 A106740 A106741 * A106743 A106744 A106745
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 30 2005
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 15 2007
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