

A167749


Riordan array (1,xf(x)) where f(x) is the g.f. of A005169 (fountains of coins).


2



1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 3, 3, 1, 0, 3, 6, 6, 4, 1, 0, 5, 11, 13, 10, 5, 1, 0, 9, 20, 27, 24, 15, 6, 1, 0, 15, 38, 54, 55, 40, 21, 7, 1, 0, 26, 70, 109, 120, 100, 62, 28, 8, 1, 0, 45, 129, 216, 258, 236, 168, 91, 36, 9, 1, 0, 78, 238, 423, 544, 540, 426, 266, 128, 45, 10, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,9


COMMENTS

Row sums are A167750. Diagonal sums are A167751.


LINKS

Table of n, a(n) for n=0..77.


FORMULA

G.f.: 1/(1xy/(1x/(1x^2/(1x^3/(1x^4/(1... (continued fraction).


EXAMPLE

Triangle begins
1,
0, 1,
0, 1, 1,
0, 1, 2, 1,
0, 2, 3, 3, 1,
0, 3, 6, 6, 4, 1,
0, 5, 11, 13, 10, 5, 1,
0, 9, 20, 27, 24, 15, 6, 1,
0, 15, 38, 54, 55, 40, 21, 7, 1,
0, 26, 70, 109, 120, 100, 62, 28, 8, 1,
0, 45, 129, 216, 258, 236, 168, 91, 36, 9, 1,
0, 78, 238, 423, 544, 540, 426, 266, 128, 45, 10, 1,
0, 135, 437, 824, 1127, 1205, 1035, 721, 402, 174, 55, 11, 1


CROSSREFS

Sequence in context: A030399 A128763 A127597 * A104770 A296529 A110280
Adjacent sequences: A167746 A167747 A167748 * A167750 A167751 A167752


KEYWORD

easy,nonn,tabl


AUTHOR

Paul Barry, Nov 10 2009


STATUS

approved



