

A176205


As S(x), satisfies S(x)/S(x^2) = (1 + 3x + 5x^2)


1



1, 3, 8, 9, 23, 24, 49, 27, 68, 69, 139, 72, 169, 147, 272, 81, 203, 204, 409, 207, 484, 417, 767, 216, 529
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OFFSET

0,2


COMMENTS

Has an apparent fractal structure with the following properties:
Terms n = (0, 1, 3, 7, 15,...) = (1, 3, 9, 27,...).
Odd nth terms are divisible by 3 (starting with n=1) creating the same
sequence.
Then the result is relabeled with n=0,1,2,...; with the odds again divisible
by 3, getting (1, 3, 8, 9, 23,...); and so on.


LINKS

Table of n, a(n) for n=0..24.


FORMULA

Given M = an infinite triangular matrix with (1, 3, 5,...) in each column;
shifted down twice for columns >0. Then A176205 = Lim_{n>inf.} M^n, the
left shifted vector considered as a sequence.


CROSSREFS

Sequence in context: A295289 A212849 A191487 * A099256 A167344 A025615
Adjacent sequences: A176202 A176203 A176204 * A176206 A176207 A176208


KEYWORD

nonn


AUTHOR

Gary W. Adamson, Apr 11 2010


STATUS

approved



