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A160457 n^2 - 2*n + 2. 1
2, 1, 2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 145, 170, 197, 226, 257, 290, 325, 362, 401, 442, 485, 530, 577, 626, 677, 730, 785, 842, 901, 962, 1025, 1090, 1157, 1226, 1297, 1370, 1445, 1522, 1601, 1682, 1765, 1850, 1937, 2026, 2117, 2210, 2305, 2402, 2501, 2602, 2705, 2810 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Competition number of the complete bipartite graph K_n,n.

Formula given on p. 3 of Sano.

LINKS

Yoshio Sano, The competition numbers of regular polyhedra, May 12, 2009.

FORMULA

a(n)=a(n-1)+2*n-3 (with a(0)=2) [From Vincenzo Librandi, Dec 03 2010]

a(n)= +3*a(n-1) -3*a(n-2) +a(n-3). G.f.: -(2-5*x+5*x^2)/(x-1)^3.

MATHEMATICA

Table[n^2-2*n+2, {n, 0, 5!}] (*From Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), 29 Dec 2010*)

PROG

(PARI) vector(100, n, n^2 - 2*n + 2)

CROSSREFS

Cf. A160450.

Sequence in context: A201163 A049901 A117715 * A107087 A115141 A031148

Adjacent sequences:  A160454 A160455 A160456 * A160458 A160459 A160460

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), May 14 2009

EXTENSIONS

More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009

Sequence corrected by Joerg Arndt, Dec 03 2010.

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Last modified February 14 04:29 EST 2012. Contains 205570 sequences.