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A052928 The even numbers repeated. +0
7
0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18, 20, 20, 22, 22, 24, 24, 26, 26, 28, 28, 30, 30, 32, 32, 34, 34, 36, 36, 38, 38, 40, 40, 42, 42, 44, 44, 46, 46, 48, 48, 50, 50, 52, 52, 54, 54, 56, 56, 58, 58, 60, 60, 62, 62, 64, 64, 66, 66, 68, 68, 70, 70, 72, 72 (list; graph; listen)
OFFSET

0,3

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 914

Eric Weisstein's World of Mathematics, Wallis Formula

Eric Weisstein's World of Mathematics, Random Matrix

Eric Weisstein's World of Mathematics, Legendre-Gauss Quadrature

FORMULA

a(n)=2*Floor[n/2]. G.f.: 2/(-1+x)^2/(1+x).

Recurrence: {a(0)=2, a(n)+a(n+1)-4-2*n}. Also a(n) = n+3/2+1/2*(-1)^(-n)

a(n) = n + Sum{k=1..n, (-1)^k} - William A. Tedeschi (fynmun(AT)hotmail.com), Mar 20 2008

MAPLE

spec := [S, {S=Union(Sequence(Prod(Z, Z)), Prod(Sequence(Z), Sequence(Z)))}, unlabeled]: seq(combstruct[count](spec, size=n), n=0..20);

CROSSREFS

Sequence in context: A061106 A131055 A137501 this_sequence A005186 A008642 A001364

Adjacent sequences: A052925 A052926 A052927 this_sequence A052929 A052930 A052931

KEYWORD

easy,nonn

AUTHOR

encyclopedia(AT)pommard.inria.fr, Jan 25 2000

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 05 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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