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A054925 Ceiling(n*(n-1)/4). +0
4
0, 0, 1, 2, 3, 5, 8, 11, 14, 18, 23, 28, 33, 39, 46, 53, 60, 68, 77, 86, 95, 105, 116, 127, 138, 150, 163, 176, 189, 203, 218, 233, 248, 264, 281, 298, 315, 333, 352, 371, 390, 410, 431, 452, 473, 495, 518, 541, 564, 588, 613, 638, 663, 689, 716, 743, 770, 798 (list; graph; listen)
OFFSET

0,4

COMMENT

Number of edges in "median" graph - gives positions of largest entries in rows of table in A054924.

Form the clockwise spiral starting 0,1,2,....; then A054925(n+1) interleaves 2 horizontal (A033951, A033991) and 2 vertical (A007742, A054552) branches. A bisection is A014848. - Paul Barry (pbarry(AT)wit.ie), Oct 08 2007

FORMULA

Euler transform of length 6 sequence [ 2, 0, 1, 1, 0, -1]. - Michael Somos Sep 02 2006

G.f.: x^2(x^2-x+1)/((1-x)^3(1+x^2))=x^2(1-x^6)/((1-x)^2(1-x^3)(1-x^4)). a(1-n)=a(n). - Michael Somos Feb 11 2004

PROGRAM

(PARI) a(n)=ceil(n*(n-1)/4)

CROSSREFS

Cf. A054924, A011848(n)=a(-n). A054925 + A011848 = C(n, 2).

Sequence in context: A106637 A071894 A078444 this_sequence A126097 A131073 A062485

Adjacent sequences: A054922 A054923 A054924 this_sequence A054926 A054927 A054928

KEYWORD

nonn

AUTHOR

njas, May 24 2000

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Last modified September 5 17:15 EDT 2008. Contains 143476 sequences.


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