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 A088462 a(1)=1, a(n) = ceiling((n - a(a(n-1)))/2). 18
 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32, 32 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Partial sums of A004641. - Reinhard Zumkeller, Dec 05 2009 This sequence generates A004641; see comment at A004641. - Clark Kimberling, May 25 2011 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 N. J. A. Sloane, Families of Essentially Identical Sequences, Mar 24 2021 (Includes this sequence) FORMULA a(n) = floor((sqrt(2)-1)*n + 1/sqrt(2)). a(1) = a(2) = 1; a(n) = n - a(n-1) - a(a(n-2)) for n > 2. - Altug Alkan, Jun 24 2017 MATHEMATICA Table[Floor[(Sqrt[2] - 1) n + 1 / Sqrt[2]], {n, 100}] (* Vincenzo Librandi, Jun 26 2017 *) PROG (Python) l=[0, 1, 1] for n in range(3, 101): l.append(n - l[n - 1] - l[l[n - 2]]) print(l[1:]) # Indranil Ghosh, Jun 24 2017, after Altug Alkan (MAGMA) [Floor((Sqrt(2)-1)*n+1/Sqrt(2)): n in [1..100]]; // Vincenzo Librandi, Jun 26 2017 CROSSREFS Cf. A005206. The following sequences are all essentially the same, in the sense that they are simple transformations of each other, with A000201 as the parent: A000201, A001030, A001468, A001950, A003622, A003842, A003849, A004641, A005614, A014675, A022342, A088462, A096270, A114986, A124841. - N. J. A. Sloane, Mar 11 2021 Sequence in context: A331535 A248170 A225545 * A189574 A233795 A093337 Adjacent sequences:  A088459 A088460 A088461 * A088463 A088464 A088465 KEYWORD nonn AUTHOR Benoit Cloitre, Nov 12 2003 STATUS approved

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Last modified July 27 02:39 EDT 2021. Contains 346302 sequences. (Running on oeis4.)