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A092236 (3^n + 2*3^(n/2)*cos(n*Pi/6))/3. 0
1, 2, 4, 9, 24, 72, 225, 702, 2160, 6561, 19764, 59292, 177633, 532170, 1595052, 4782969, 14346720, 43040160, 129127041, 387400806, 1162241784, 3486784401, 10460412252, 31381236756, 94143533121, 282430067922, 847289140884, 2541865828329, 7625595890664 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

From an Internat. Math. Olympiad problem.

REFERENCES

E. Lozansky and C. Rousseau, Winning Solutions, Springer, 1996; see p. 154.

FORMULA

G.f.: (1-4x+4x^2) / [(1-3x)(1-3x+3x^2)].

CROSSREFS

Sequence in context: A148084 A156804 A081913 * A009283 A125654 A141824

Adjacent sequences:  A092233 A092234 A092235 * A092237 A092238 A092239

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 18 2004

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Last modified February 15 02:35 EST 2012. Contains 205689 sequences.