

A155788


Renewal array for 1/(x+sqrt(14x)).


1



1, 1, 1, 3, 2, 1, 9, 7, 3, 1, 29, 24, 12, 4, 1, 97, 85, 46, 18, 5, 1, 333, 306, 177, 76, 25, 6, 1, 1165, 1115, 681, 315, 115, 33, 7, 1, 4135, 4100, 2622, 1288, 510, 164, 42, 8, 1, 14845, 15185, 10104, 5220, 2206, 774, 224, 52, 9, 1
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OFFSET

0,4


COMMENTS

First column is A081696. Row sums are A000984.
Contribution from Paul Barry, Jan 27 2009: (Start)
First column of A155788.
In general, the image of the sequence with g.f. 1/(1axbx^2) under (1,xc(x)) has g.f.
1/(1ax(a+b)x/(12xx^2/(12xx^2/(12xx^2/(1..... (continued fraction). (End)


LINKS

Table of n, a(n) for n=0..54.


FORMULA

Riordan array (1/(x+sqrt(14x)),x/(x+sqrt(14x));
G.f.: 1/(1xxy2x^2/(12xx^2/(12xx^2/(12xx^2/(1..... (continued fraction).
G.f: 1/(1x2x^2/(12xx^2/(12xx^2/(12xx^2/(1.... (continued fraction). [From Paul Barry, Jan 27 2009]


EXAMPLE

Triangle begins
1,
1, 1,
3, 2, 1,
9, 7, 3, 1,
29, 24, 12, 4, 1,
97, 85, 46, 18, 5, 1,
333, 306, 177, 76, 25, 6, 1


CROSSREFS

Sequence in context: A185416 A193918 A298804 * A108073 A057731 A126074
Adjacent sequences: A155785 A155786 A155787 * A155789 A155790 A155791


KEYWORD

easy,nonn,tabl


AUTHOR

Paul Barry, Jan 27 2009


STATUS

approved



