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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A173277 A(x) satisfies A000290(x)/x^2 = A(x)/A(x^2); A000290 = integer squares 3
1, 4, 13, 32, 74, 152, 298, 544, 964, 1632, 2700, 4320, 6790, 10408, 15718, 23264, 34010, 48920, 69626, 97760, 136022, 187112, 255350, 345056, 463020, 616032, 814500, 1068832, 1394746, 1807960, 2331738, 2989344, 3814788, 4842080, 6120140, 7697888, 9644950 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..37.

FORMULA

A(x) = (1+x)*A(x^2)/(x*(1-x)^3).

Given triangle A152205, (squares in every column shifted down twice) = M, then

Lim_{n->inf} M^n = A173277 as a left-shifted vector.

EXAMPLE

(1 + 4x + 13x^2 + 32x^3 + ...) = (1 + 4x + 9x^2 + 16x^3 + ...)

/ (1 + 4x^2 + 9x^4 + 16x^6 + ...)= (1, 4, 13, 32,...) = (1, 4, 9, 16,...)

/ (1, 0, 4, 0, 9, 0, 16,...).

CROSSREFS

Cf. A000290, A152205

Sequence in context: A051912 A060099 A208638 * A036420 A266094 A054039

Adjacent sequences:  A173274 A173275 A173276 * A173278 A173279 A173280

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Feb 14 2010

EXTENSIONS

Definition corrected to match the offset by R. J. Mathar, Feb 21 2010

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 January 17 09:26 EST 2018. Contains 297801 sequences.