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A046700 a(1) = a(2) = a(3) = 1, a(n) = a(n - a(n-1)) + a(n - a(n-3)) for 3 < n < 165. 5
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; text; internal format)
OFFSET

1,4

REFERENCES

Sequence proposed by Reg Allenby.

Undefined past a(164), since a(164) = 202.

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

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;

MATHEMATICA

a[1] = a[2] = a[3] = 1; a[n_] := a[n] = a[n - a[n - 1]] + a[n - a[n - 3]]; Array[a, 72] (* Jean-Fran├žois Alcover, Dec 12 2016 *)

CROSSREFS

Sequence in context: A276952 A096336 A081609 * A216411 A110532 A049987

Adjacent sequences:  A046697 A046698 A046699 * A046701 A046702 A046703

KEYWORD

nonn,fini,full

AUTHOR

R. K. Guy

EXTENSIONS

Edited by N. J. A. Sloane, Nov 06 2007

STATUS

approved

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Last modified June 16 13:31 EDT 2019. Contains 324152 sequences. (Running on oeis4.)