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A046700
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a(1) = a(2) = a(3) = 1, a(n) = a(n - a(n-1)) + a(n - a(n-3)) for n > 3.
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4
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1, 1, 1, 2, 3, 4, 4, 5, 5, 7, 6, 8, 7, 9, 8, 10, 9, 12, 9, 12, 10, 15, 11, 16, 12, 17, 13, 18, 14, 19, 15, 21, 17, 18, 18, 21, 19, 21, 24, 20, 22, 24, 20, 31, 19, 30, 19, 28, 19, 30, 21, 32, 21, 34, 21, 36, 21, 38, 21, 48, 18, 53, 15, 49, 18, 49, 24, 61, 17, 51, 19, 42
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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REFERENCES
| Sequence proposed by Reg Allenby.
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LINKS
| N. J. A. Sloane, Table of n, a(n) for n = 1..164 [The full sequence]
B. Balamohan, A. Kuznetsov and S. Tanny, On the behavior of a variant of Hofstadter's Q-sequence, J. Integer Sequences, Vol. 10 (2007), #07.7.1.
Index entries for Hofstadter-type sequences
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MAPLE
| V := proc(n) option remember; if n<=3 then 1 else if n > V(n-1) and n > V(n-3) then RETURN(V(n-V(n-1))+V(n-V(n-3))); else ERROR(" died at n= ", n); fi; fi; end;
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CROSSREFS
| Sequence in context: A071991 A096336 A081609 * A110532 A049987 A051898
Adjacent sequences: A046697 A046698 A046699 * A046701 A046702 A046703
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KEYWORD
| nonn,fini
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AUTHOR
| R. K. Guy (rkg(AT)cpsc.ucalgary.ca)
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EXTENSIONS
| Undefined past a(164), since a(164) = 202.
Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 06 2007
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