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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A029698 Number of words of length 2n in the 10 transpositions of S[5] equivalent to the identity. 1
10, 340, 20860, 1770940, 169271260, 16731772540, 1668294277660, 166707356798140, 16667683919380060, 1666692097982207740, 166667302449546018460, 16666682561238613761340, 1666667064030965197232860, 166666676600774129343618940, 16666666915019353231241663260 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..300

Index entries for linear recurrences with constant coefficients, signature (129,-3000,10000).

FORMULA

a(n) = (25*4^n+16*25^n +100^n)/60.

a(n) = 129*a(n-1)-3000*a(n-2)+10000*a(3). - Colin Barker, May 28 2015

G.f.: -10*x*(700*x^2-95*x+1) / ((4*x-1)*(25*x-1)*(100*x-1)). - Colin Barker, May 28 2015

PROG

(MAGMA) [(25*4^n+16*25^n +100^n)/60: n in [1..15]]; // Vincenzo Librandi, Jun 30 2011

(PARI) Vec(-10*x*(700*x^2-95*x+1) / ((4*x-1)*(25*x-1)*(100*x-1)) + O(x^100)) \\ Colin Barker, May 28 2015

CROSSREFS

Sequence in context: A288684 A046747 A006426 * A197598 A197982 A217506

Adjacent sequences:  A029695 A029696 A029697 * A029699 A029700 A029701

KEYWORD

nonn,easy

AUTHOR

Paolo Dominici (pl.dm(AT)libero.it)

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 14:15 EST 2019. Contains 329806 sequences. (Running on oeis4.)