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A185137
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Tri-recursive sequence: a(n) = a(a(a(n-1))) + a(n - a(a(-3+n))) if n>6, otherwise a(n) = 1.
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1
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1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 16, 17, 18, 20, 20, 20, 20, 20, 20, 20, 21, 22, 23, 26, 26, 26, 26, 26, 26, 26, 26, 27
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,7
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COMMENTS
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a(n-1) <= a(n) for n <= 64, but a(65)-a(64) = 32-35 < 0; first positions m where a(m) > a(m+1): 64, 79, 84, 99, 105, 106, 110, 125, 126, ... . - Reinhard Zumkeller, Jun 13 2013
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LINKS
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MATHEMATICA
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a[1] = 1; a[2] = 1; a[3] = 1; a[4] = 1; a[5] = 1; a[6] = 1;
a[n_] := a[n] = a[a[a[n - 1]]] + a[n - a[a[-3 + n]]]
Table[a[n], {n, 1, 300}]
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PROG
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(Haskell)
a185137 n = a185137_list !! (n-1)
a185137_list = 1 : 1 : 1 : 1 : 1 : 1 : f 7 1 1 where
f x u v = w : f (x + 1) v w where
w = (a185137 . a185137 . a185137) (x - 1) +
a185137 (x - (a185137 . a185137) (x - 3))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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