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Search: id:A151662
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| A151662 |
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The first of three Hofstadter parents-child sequences of Thomas Stoll. |
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+0
3
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| 1, 0, 2, 1, 3, 3, 4, 4, 5, 7, 7, 8, 7, 10, 8, 10, 10, 11, 10, 13, 11, 13, 13, 14, 16, 16, 17, 16, 19, 17, 19, 19, 20, 21, 21, 22, 22, 23, 24, 24, 25, 24, 27, 25, 27, 27, 28, 30, 30, 31, 30, 33, 31, 33, 33, 34, 36, 36, 37, 36, 39, 37, 39, 39, 40, 39, 42, 40, 42, 42, 43, 45, 45, 46, 45, 48
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Define three sequence a, b, c by: a[0]:=1; b[0]:=0; c[0]:=0; for n >= 1, b[n]:=n-c[b[n-1]]; a[n]:=n-b[a[n-1]]; c[n]:=n-a[c[n-1]].
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REFERENCES
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Th. Stoll, On Hofstadter's married functions, Fib. Q., 46/47 (2008/2009), 62-67.
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MAPLE
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M:=130;
a[0]:=1; b[0]:=0; c[0]:=0;
for n from 1 to M do
b[n]:=n-c[b[n-1]];
a[n]:=n-b[a[n-1]];
c[n]:=n-a[c[n-1]];
od:
A:=[seq(a[n], n=0..M)];
B:=[seq(b[n], n=0..M)];
C:=[seq(c[n], n=0..M)];
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CROSSREFS
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See also A151663, A151664. Cf. A005206, A005378, A005379.
Sequence in context: A093068 A097357 A123621 this_sequence A049786 A029137 A027157
Adjacent sequences: A151659 A151660 A151661 this_sequence A151663 A151664 A151665
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 30 2009
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