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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A140227 Binomial transform of [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...]. 0
1, 5, 15, 35, 70, 127, 215, 345, 530, 785, 1127, 1575, 2150, 2875, 3775, 4877, 6210, 7805, 9695, 11915, 14502, 17495, 20935, 24865, 29330, 34377, 40055, 46415, 53510, 61395, 70127, 79765, 90370, 102005, 114735, 128627, 143750, 160175, 177975 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..39.

FORMULA

A007318 * [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...].

O.g.f.: x(1+x)(x^4-x^3+x^2-x+1)/(1-x)^5. a(n)=2+35*(n-1)^2/12+(n-1)^4/12, n>1. - R. J. Mathar, Jun 18 2008

EXAMPLE

a(4) = 35 = (1, 3, 3, 1) dot (1, 4, 6, 4) = (1 + 12 + 18 + 4).

CROSSREFS

Sequence in context: A138779 A090580 A000332 * A264925 A049016 A139761

Adjacent sequences:  A140224 A140225 A140226 * A140228 A140229 A140230

KEYWORD

nonn

AUTHOR

Gary W. Adamson, May 12 2008

EXTENSIONS

More terms from R. J. Mathar, Jun 18 2008

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 16 08:03 EDT 2018. Contains 316259 sequences. (Running on oeis4.)