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A005350 a(1) = a(2) = a(3) = 1, a(n) = a(a(n-1))+a(n-a(n-1)) for n >= 4.
(Formerly M0253)
+0
3
1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 22, 23, 24, 25, 25, 26, 27, 27, 28 (list; graph; listen)
OFFSET

1,4

COMMENT

a(n)-a(n-1) = 0 or 1 (see the 1991 Monthly reference). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 06 2005

REFERENCES

R. K. Guy, The second strong law of small numbers. Math. Mag. 63 (1990), no. 1, 3-20.

Problem E3274, Amer. Math. Monthly, 98, No, 10, (1991), 958-959.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MAPLE

A005350 := proc(n) option remember; if n<=3 then 1 else A005350(A005350(n-1))+A005350(n-A005350(n-1)); fi; end;

a[1]:=1: a[2]:=1: a[3]:=1: for n from 4 to 64 do a[n]:=a[a[n-1]]+a[n-a[n-1]] od: seq(a[n], n=1..64); (Deutsch)

CROSSREFS

Cf. A004001, A005707.

Sequence in context: A085578 A101646 A080677 this_sequence A055037 A125186 A140473

Adjacent sequences: A005347 A005348 A005349 this_sequence A005351 A005352 A005353

KEYWORD

nonn,easy,nice

AUTHOR

njas, R. K. Guy

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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