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A107769 (A001333(n+1)-2*A005409(floor((n+3)/2))-1)/4. 1
0, 1, 2, 8, 19, 54, 130, 334, 806, 1995, 4816, 11746, 28357, 68748, 165972, 401388, 969036, 2341141, 5652014, 13649228, 32952151, 79563330, 192082870, 463752730, 1119598130, 2703006111, 6525634012, 15754412038, 38034515209, 91823775384, 221682203880, 535188986904, 1292060510616, 3119311948585 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

Gy. Tasi and F. Mizukami, Quantum algebraic-combinatoric study of the conformational properties of n-alkanes, J. Math. Chemistry, 25, 1999, 55-64 (see p. 63).

LINKS

Table of n, a(n) for n=0..33.

FORMULA

(1/4) [Pell(n+3) - Pell(n+2) - 2*Pell(floor((n+4)/2)) + 1 ] (conjectured), with Pell(n) = A000129(n). - Ralf Stephan, Jun 2 2007

Empirical g.f.: -x*(x^2-x+1) / ((x-1)*(x^2+2*x-1)*(x^4+2*x^2-1)). - Colin Barker, Apr 08 2013

CROSSREFS

Sequence in context: A000158 A101427 A126877 * A026588 A026572 A074797

Adjacent sequences:  A107766 A107767 A107768 * A107770 A107771 A107772

KEYWORD

more,nonn

AUTHOR

Emeric Deutsch, Jun 12 2005

EXTENSIONS

Entry revised by N. J. A. Sloane, Jul 29 2011

STATUS

approved

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Last modified June 19 14:26 EDT 2013. Contains 226414 sequences.