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A078027 Expansion of (1-x)/(1-x^2-x^3). +0
4
1, -1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465, 616, 816, 1081, 1432, 1897, 2513, 3329, 4410, 5842, 7739, 10252, 13581, 17991, 23833, 31572, 41824, 55405, 73396, 97229, 128801, 170625, 226030, 299426 (list; graph; listen)
OFFSET

0,11

LINKS

P. Chinn and S. Heubach, Integer Sequences Related to Compositions without 2's, J. Integer Seqs., Vol. 6, 2003.

FORMULA

a(n) is asymptotic to r^(n-2) / (2*r+3) where r = 1.3247179572447..., the real root of x^3 = x + 1 . For n>=4, a(n) = a(n-2) + a(n-3) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 13 2004

CROSSREFS

Cf. A000931

Sequence in context: A124745 A133034 A000931 this_sequence A134816 A072493 A064324

Adjacent sequences: A078024 A078025 A078026 this_sequence A078028 A078029 A078030

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 17 2002

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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