A154829 A q-Catalan triangle for q=2.

1, 1, 1, 3, 4, 1, 17, 25, 9, 1, 171, 258, 102, 16, 1, 3113, 4635, 1788, 290, 25, 1, 106419, 154048, 54909, 7910, 665, 36, 1, 7035649, 9907933, 3232971, 385669, 26257, 1323, 49, 1, 915028347, 1262093470, 382948336, 37703584, 1889650, 71596, 2380, 64, 1

Offset

0,4

Comments

First column is A015083. Row sums are A154828.

Links

Table of n, a(n) for n=0..44.

Formula

Triangle [1,2,4,8,16,32,...] DELTA [1,0,1,0,1,0,1,....] where DELTA is the operator defined in A084938. - Philippe Deléham, Nov 28 2011

G.f.: 1/(1-(x+xy)/(1-2x/(1-(4x+xy)/(1-8x/(1-(16x+xy)/(1-.... (continued fraction).

Example

Triangle begins
1,
1, 1,
3, 4, 1,
17, 25, 9, 1,
171, 258, 102, 16, 1,
3113, 4635, 1788, 290, 25, 1

Crossrefs

Cf. A060693.

Sequence in context: A039757 A136228 A356145 * A215241 A055133 A342186

Adjacent sequences: A154826 A154827 A154828 * A154830 A154831 A154832

Keyword

easy,nonn,tabl

Author

Paul Barry, Jan 15 2009

Status

approved