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A087839
a(n) = a(a(a(a(a(n-2))))) + a(n - a(n-2)).
1
1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13
OFFSET
1,3
COMMENTS
A fifth-order recursion based on A005229.
Differs from A106742 at n = 233 where this is 23 whereas A106742(233) = 22. - Joshua Zucker, May 17 2007
MATHEMATICA
a[n_Integer?Positive] := a[n] = a[a[a[a[a[n-2]]]]]+ a[n - a[n-2]]
a[1] = a[2] = 1
Table[a[n], {n, 1, 100}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Oct 07 2003
EXTENSIONS
Edited by N. J. A. Sloane, Jun 15 2007
STATUS
approved