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Search: id:A154829
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| A154829 |
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A q-Catalan triangle for q=2. |
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+0
2
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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; listen)
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OFFSET
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0,4
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COMMENT
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First column is A015083. Row sums are A154828.
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FORMULA
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Deleham triangle [1,2,4,8,16,32,...] DELTA [1,0,1,0,1,0,1,....];
G.f.: 1/(1-(x+xy)/(1-2x/(1-(4x+xy)/(1-8x/(1-(16x+xy)/(1-.... (continued fraction).
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EXAMPLE
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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
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Cf. A060693.
Sequence in context: A028338 A039757 A136228 this_sequence A055133 A113084 A055325
Adjacent sequences: A154826 A154827 A154828 this_sequence A154830 A154831 A154832
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 15 2009
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