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!)
A153280 Eigensequence of triangle A153279 2
1, 3, 15, 165, 4785, 397155, 97302975, 71128474725, 155700231173025, 1021860617188563075, 20115326249356864131375, 1187830130350772183821825125, 210422919761508941591852499068625, 111827787746815596446398867662527275875 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

FORMULA

Given triangle A153279, let a new triangle = M shifted down one row, inserting a "1" in (0,0).

Triangle A153280 = Lim_{n..inf.} M^n

a(n+1) = a(n)*(2+3^n), a(0) = 1. - Philippe Deléham, Sep 27 2014

EXAMPLE

Triangle M =

1;

1;

2, 1;

4, 2, 3;

8, 4, 6, 9;

16, 8, 12, 18, 27;

...

M^n rapidly converges to A153280 with sufficiently large n.

a(0) = 1, a(1) = 1*(2+3^0) = 3, a(2) = 3*(2+3^1) = 15, a(3) = 15*(2+3^2) = 165, a(4) = 165*(2+3^3) = 4785, ... - Philippe Deléham, Sep 27 2014

CROSSREFS

A153279, A057735

Sequence in context: A080696 A015013 A269694 * A132683 A059386 A077792

Adjacent sequences:  A153277 A153278 A153279 * A153281 A153282 A153283

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Dec 23 2008

EXTENSIONS

More terms from Philippe Deléham, Sep 27 2014

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 June 23 13:01 EDT 2021. Contains 345401 sequences. (Running on oeis4.)