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A154829
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A q-Catalan triangle for q=2.
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1
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| First column is A015083. Row sums are A154828.
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FORMULA
| Triangle [1,2,4,8,16,32,...] DELTA [1,0,1,0,1,0,1,....] where DELTA is the operator defined in A084938. - DELEHAM Philippe, Nov 28 2011
G.f.: 1/(1-(x+xy)/(1-2x/(1-(4x+xy)/(1-8x/(1-(16x+xy)/(1-.... (continued fraction).
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EXAMPLE
| Triangle begins
1,
1, 1,
3, 4, 1,
17, 25, 9, 1,
171, 258, 102, 16, 1,
3113, 4635, 1788, 290, 25, 1
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CROSSREFS
| Cf. A060693.
Sequence in context: A028338 A039757 A136228 * A055133 A113084 A055325
Adjacent sequences: A154826 A154827 A154828 * A154830 A154831 A154832
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 15 2009
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