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A135851 If n <= 1 then n-1 otherwise A107458(n-1) + A107458(n-2). 3
-1, 0, 1, 0, 0, 1, 1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 8641, 12664, 18560, 27201, 39865, 58425, 85626, 125491, 183916, 269542, 395033, 578949, 848491, 1243524, 1822473, 2670964, 3914488, 5736961, 8407925 (list; graph; refs; listen; history; internal format)
OFFSET

0,9

REFERENCES

C. K. Fan, Structure of a Hecke algebra quotient. J. Amer. Math. Soc. 10 (1997), no. 1, 139-167. [Page 156, f^1_n.]

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (1,0,1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 26 2010]

FORMULA

a(n)= +a(n-1) +a(n-3). a(n) = A078012(n-2), n>=2. G.f.: ( 1-x^2-x ) / ( -1+x+x^3 ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 26 2010]

MATHEMATICA

LinearRecurrence[{1, 0, 1}, {-1, 0, 1}, 50] (* From Vladimir Joseph Stephan Orlovsky, Jan 31 2012 *)

CROSSREFS

Cf. A013979, A107458, A078012.

Sequence in context: A068921 A000930 A078012 * A199804 A101913 A121653

Adjacent sequences:  A135848 A135849 A135850 * A135852 A135853 A135854

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mar 08 2008

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Last modified February 17 22:48 EST 2012. Contains 206085 sequences.