login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A140226 Binomial transform of [1, 3, 3, 1, 1, -1, 1, -1, 1, ...]. 1
1, 4, 10, 20, 36, 60, 94, 140, 200, 276, 370, 484, 620, 780, 966, 1180, 1424, 1700, 2010, 2356, 2740, 3164, 3630, 4140, 4696, 5300, 5954, 6660, 7420, 8236, 9110, 10044, 11040, 12100, 13226, 14420 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

E. Hetmaniok, M. Pleszczynski, I. Sobstyl, R. Witula, Kaprekar's transformations. Part II-numerical results and intriguing corollaries, Position Papers of the Federated Conference on Computer Science and Information Systems pp. 97-104, ACSIS, Vol. 6; DOI: 10.15439/2015F15.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

A007318 * [1, 3, 3, 1, 1, -1, 1, -1, 1, ...].

From Emeric Deutsch, Jun 03 2008: (Start)

a(n) = n*(11 + n^2)/3 for n >= 1.

G.f.: (1+x^4)/(1-x)^4. (End)

EXAMPLE

a(5) = 36 = (1, 4, 6, 4, 1) dot (1, 3, 3, 1, 1) = (1 + 12 + 18 + 4 + 1).

MAPLE

1, seq((1/3)*n*(11+n^2), n=1..35); # Emeric Deutsch, Jun 03 2008

CROSSREFS

Sequence in context: A038410 A301177 A009847 * A264924 A008059 A145132

Adjacent sequences:  A140223 A140224 A140225 * A140227 A140228 A140229

KEYWORD

nonn

AUTHOR

Gary W. Adamson, May 12 2008

EXTENSIONS

More terms from Emeric Deutsch, Jun 03 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 9 15:34 EDT 2021. Contains 343742 sequences. (Running on oeis4.)