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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

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs. 7 (2004), article 04.1.6.

Index entries for linear recurrences with constant coefficients, signature (2,-1,1,-2,1).

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

CROSSREFS

Cf. A053799, A087465, A087468.

Sequence in context: A025697 A255977 A022331 * A154255 A232739 A006697

Adjacent sequences:  A087480 A087481 A087482 * A087484 A087485 A087486

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 09 2003

EXTENSIONS

Edited by Max Alekseyev, Dec 05 2013

STATUS

approved

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Last modified October 15 20:04 EDT 2019. Contains 328037 sequences. (Running on oeis4.)