login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A085143 Triangle table from number wall of reversion of Fibonacci numbers. 0
1, -1, -1, -1, -1, -1, 1, 0, 2, 1, 1, -2, 4, 3, 1, -1, 3, -11, -5, -5, -1, -1, -1, -34, 10, -20, -8, -1, 1, 11, 106, -116, 96, 44, 13, 1, 1, 15, 368, -328, 716, 86, 125, 21, 1, -1, 13, -1324, -1344, -5634, 1866, -1063, -316, -34, -1, -1, 77, -4811, -17235 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Table of n, a(n) for n=1..59.

FORMULA

T(n, k)=det(a(i+j-1+k-n)_{i, j=1..n}) where a(n)=A007440(n).

T(n, k)=(-1)^[(n+k-1)/2]*T(k-1, n-1) if 1<=k<=n.

EXAMPLE

1; -1,-1; -1,-1,-1; 1,0,2,1; 1,-2,4,3,1; -1,3,-11,-5,-5,-1; ...

T(4,2)=0 since det([0,0,1,-1; 0,1,-1,0; 1,-1,0,2; -1,0,2,-3])=0.

PROG

(PARI) {a(n)=polcoeff((-1-x+sqrt(1+2*x+5*x^2+x^2*O(x^n)))/(2*x), n)}{T(n, k)=matdet(matrix(n, n, i, j, a(i+j-1+k-n)))}

CROSSREFS

Cf. A007440.

Sequence in context: A293819 A027113 A096470 * A253473 A026120 A108746

Adjacent sequences:  A085140 A085141 A085142 * A085144 A085145 A085146

KEYWORD

sign,tabl

AUTHOR

Michael Somos, Jun 19 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 23 07:20 EDT 2018. Contains 316520 sequences. (Running on oeis4.)