

A095773


a(1)=1, a(n) = 1 + a(n  a(a(a(n1)))).


3



1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22
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OFFSET

1,2


COMMENTS

A generalization of Golomb's sequence.
a(10^n): 1, 6, 26, 124, 611, 2963, 14172, ...


LINKS



FORMULA

Is a(n) asymptotic to r^(r1)*n^r where r is the positive root of x^3+x=1 and so r=0.682327803828019327...?


MATHEMATICA

a[1] = 1; a[n_] := a[n] = 1 + a[n  a[a[a[n  1]]]]; Table[ a[n], {n, 80}] (* Robert G. Wilson v, Jun 09 2004 *)


PROG

(PARI) v=vector(1000, j, 1); for(n=2, 1000, g=v[nv[v[v[n1]]]]+1; v[n]=g); a(n)=v[n]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



