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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081201 Binomial transform of (0,1,0,1,0,1,....), A000035. 8
0, 1, 14, 148, 1400, 12496, 107744, 908608, 7548800, 62070016, 506637824, 4113568768, 33271347200, 268347559936, 2159841173504, 17357093552128, 139326933401600, 1117436577120256, 8956419276406784, 71752914167922688 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform of A081200.

Conjecture (verified up to a(8)): Number of collinear 6-tuples of points in a 6 X 6 X 6 X... n-dimensional cubic grid. [R. H. Hardin, May 23 2010]

From Wolfdieter Lang, Jul 17 2017: (Start)

For a combinatorial interpretation of a(n) with special 8-letter words of length n see the comment in A081200 on the 7-letter analog.

The binomial transform of {a(n)}_{n >= 0} is A081202, the 9-letter analog.

(End)

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (14,-48).

FORMULA

a(n) = 14*a(n-1) - 48*a(n-2) with n>1, a(0)=0, a(1)=1.

G.f.: x/((1-6*x)*(1-8*x)).

a(n) = 8^n/2 - 6^n/2.

MATHEMATICA

CoefficientList[Series[x/((1 - 6 x) (1 - 8 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Aug 07 2013 *)

PROG

(MAGMA) [8^n/2-6^n/2: n in [0..25]]; // Vincenzo Librandi, Aug 07 2013

CROSSREFS

Cf. A000035, A016170, A081200, A081202.

Sequence in context: A002451 A207259 A016170 * A065899 A162965 A067103

Adjacent sequences:  A081198 A081199 A081200 * A081202 A081203 A081204

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Mar 11 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 18 16:31 EDT 2017. Contains 293524 sequences.