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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

Table of n, a(n) for n=0..39.

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). [From R. J. Mathar, Apr 01 2010]

MAPLE

A173283 := proc(n) 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) ; [From R. J. Mathar, Apr 01 2010]

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

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Last modified November 15 11:35 EST 2018. Contains 317238 sequences. (Running on oeis4.)