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!)
A173283 A(x) satisfies A005408(x) = A(x)/A(x^2), A005408 = odd numbers. 2
1, 3, 8, 16, 32, 56, 96, 152, 240, 360, 536, 768, 1096, 1520, 2096, 2824, 3792, 5000, 6568, 8496, 10960, 13960, 17728, 22264, 27896, 34624, 42872, 52640, 64504, 78464, 95248, 114856, 138256, 165448, 197640, 234832, 278592, 328920, 387744, 455064 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

(1 + 3x + 5x^2 + 7x^3 + ...) = (1 + 3x + 8x^2 + 16x^3 + ...) / (1 + 3x^2 + 8x^4 + 16x^6 + ...).

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

Given M = triangle A152204, odd numbers shifted down twice in every column > 0.

A173283 = lim_{n->inf} M^n, the left-shifted vector considered as a sequence.

a(n) = Sum_{t=0..n/2} (2*n - 4*t + 1)*a(t). - R. J. Mathar, Apr 01 2010

MAPLE

A173283 := proc(n) option remember; if n = 0 then 1; else add(procname(l)*(2*n-4*l+1), l=0..n/2) ; end if; end proc: seq(A173283(n), n=0..60) ; # R. J. Mathar, Apr 01 2010

MATHEMATICA

m = 40;

A[_] = 1;

Do[A[x_] = A[x^2] (1 + x)/(1 - x)^2 + O[x]^m // Normal, {m}];

CoefficientList[A[x], x] (* Jean-Fran├žois Alcover, Feb 06 2020 *)

CROSSREFS

Cf. A005408, A152204.

Sequence in context: A081661 A005103 A001978 * A077552 A171497 A024623

Adjacent sequences:  A173280 A173281 A173282 * A173284 A173285 A173286

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Feb 14 2010

EXTENSIONS

More terms from R. J. Mathar, Apr 01 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 13 19:36 EDT 2021. Contains 343868 sequences. (Running on oeis4.)