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A087483 Row 0 of the order array of 3/2, i.e., row 0 of the transposable dispersion in A087465. 7
1, 2, 4, 6, 9, 13, 17, 22, 28, 34, 41, 49, 57, 66, 76, 86, 97, 109, 121, 134, 148, 162, 177, 193, 209, 226, 244, 262, 281, 301, 321, 342, 364, 386, 409, 433, 457, 482, 508, 534, 561, 589, 617, 646, 676, 706, 737, 769, 801, 834, 868, 902, 937, 973, 1009, 1046, 1084 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Also, column 0 of the transposable dispersion in A087468.
LINKS
Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs. 7 (2004), article 04.1.6.
FORMULA
a(n) = n + 1 - floor(n/3) + Sum_{i=1..n} floor(2i/3).
a(n) = 1 + floor((n+1)^2)/3) = 1 + A000212(n+1).
a(n) = A192735(n+2) / (n+2). - Reinhard Zumkeller, Jul 08 2011
G.f.: -(x^4-x^3+x^2+1) / ((x-1)^3*(x^2+x+1)). - Colin Barker, Mar 31 2013
MAPLE
A087483 := proc(n)
1+floor((n+1)^2/3) ;
end proc:
seq(A087483(n), n=0..10) ; # R. J. Mathar, Aug 10 2017
MATHEMATICA
LinearRecurrence[{2, -1, 1, -2, 1}, {1, 2, 4, 6, 9}, 100] (* Jean-François Alcover, Mar 29 2020 *)
CROSSREFS
Sequence in context: A025697 A255977 A022331 * A154255 A232739 A342712
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 09 2003
EXTENSIONS
Edited by Max Alekseyev, Dec 05 2013
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)