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A103135 G.f. (-3x^3-18x^2+14x-1)/(3x^4-5x^2+4x-1). 1
1, -10, -27, -55, -82, -83, -3, 238, 721, 1445, 2166, 2153, -55, -6650, -19827, -39599, -59426, -59659, -987, 175550, 528857, 1058701, 1587558, 1583377, -17711, -4811626, -14395275, -28772839, -43168114, -43243139, -317811, 128625934, 386588449, 773494709, 1160083158, 1158736889 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A floretion-generated sequence which emerges as a transformation of A000004. a(6n+6)= A103134(n).

It appears that Fib(6n+1) = a(6n+4) - a(6n+5). - Creighton Dement, Jan 31 2005

LINKS

Table of n, a(n) for n=0..35.

Index entries for linear recurrences with constant coefficients, signature (4,-5,0,3).

FORMULA

a(n) = -9*A057083(n-1) - Fib(n-2). - Ralf Stephan, May 18 2007

PROG

Floretion Algebra Multiplication Program. FAMP code: 4lesforcycseq[ - .25'i + .5'j - .25i' - .5j' + .5k' - .25'ii' + .75'jj' - .25'kk' + .5'ji' + .25'jk' + .25'kj' + .75e ] Note: vesforcycseq = A000004, 4lesforseq gives A000045, vesseq gives A057681.

(PARI) Vec((-3*x^3-18*x^2+14*x-1)/(3*x^4-5*x^2+4*x-1)+O(x^99)) \\ Charles R Greathouse IV, Feb 05 2013

CROSSREFS

Cf. A103134.

Sequence in context: A043887 A161450 A001107 * A220021 A008468 A267217

Adjacent sequences:  A103132 A103133 A103134 * A103136 A103137 A103138

KEYWORD

sign,easy

AUTHOR

Creighton Dement, Jan 24 2005

EXTENSIONS

Definition not clear to me. A000004 is the zero sequence! N. J. A. Sloane.

STATUS

approved

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Last modified March 29 21:48 EDT 2017. Contains 284288 sequences.