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A007599 a(n+1) = a(n)+a(a(a(..(n-1)..))), 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; graph; refs; listen; history; text; internal format)
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 (m-2)) !! (m `div` 2)

-- Reinhard Zumkeller, Jan 05 2012

CROSSREFS

Sequence in context: A081610 A063273 A200262 * 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

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Last modified August 27 15:22 EDT 2014. Contains 246143 sequences.