

A007599


a(n+1) = a(n)+a(a(a(..(n1)..))), depth [ n/2 ].
(Formerly M0455)


3



1, 0, 1, 1, 1, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 9, 9, 10, 11, 11, 11, 12, 13, 14, 15, 15, 15, 16, 17, 17, 17, 18, 19, 19, 19, 20, 21, 21, 21, 22, 23, 24, 25, 25, 25, 26, 27, 27, 27, 28, 29, 29, 29, 30, 31, 31, 31, 32, 33, 33, 33, 34, 35, 35, 35, 36, 37, 37, 37, 38, 39, 39, 39, 40
(list;
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refs;
listen;
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OFFSET

0,7


REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000


MATHEMATICA

a[n_Integer] := a[n] = (a[n  1] + Nest[a, n  2, Floor[n/2] ] ); a[0] = 1; a[1] = 0; Table[ a[n], {n, 0, 75} ]


PROG

(Haskell)
a007599 n = a007599_list !! n
a007599_list = 1 : f 1 1 where
f x m = y : f y (m + 1) where
y = x + (iterate a007599 (m2)) !! (m `div` 2)
 Reinhard Zumkeller, Jan 05 2012


CROSSREFS

Sequence in context: A063273 A200262 A270432 * A154940 A133344 A091334
Adjacent sequences: A007596 A007597 A007598 * A007600 A007601 A007602


KEYWORD

nonn,nice,easy


AUTHOR

N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v


STATUS

approved



