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A236918
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Triangle read by rows: Catalan triangle of the k-Fibonacci sequence.
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1
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1, 1, 1, 1, 2, 3, 1, 3, 7, 8, 1, 4, 12, 22, 24, 1, 5, 18, 43, 73, 75, 1, 6, 25, 72, 156, 246, 243, 1, 7, 33, 110, 283, 564, 844, 808, 1, 8, 42, 158, 465, 1092, 2046, 2936, 2742, 1, 9, 52, 217, 714, 1906, 4178, 7449, 10334, 9458, 1, 10, 63, 288, 1043, 3096
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OFFSET
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1,5
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COMMENTS
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Reversal of the Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A000958. - Philippe Deléham, Feb 10 2014
Row sums are in A109262. - Philippe Deléham, Feb 10 2014
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LINKS
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Table of n, a(n) for n=1..61.
Sergio Falcon, Catalan transform of the K-Fibonacci sequence, Commun. Korean Math. Soc. 28 (2013), No. 4, pp. 827-832; http://dx.doi.org/10.4134/CKMS.2013.28.4.827.
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EXAMPLE
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Triangle begins:
1;
1, 1;
1, 2, 3;
1, 3, 7, 8;
1, 4, 12, 22, 24;
1, 5, 18, 43, 73, 75;
1, 6, 25, 72, 156, 246, 243;
1, 7, 33, 110, 283, 564, 844, 808;
1, 8, 42, 158, 465, 1092, 2046, 2936, 2742;
1, 9, 52, 217, 714, 1906, 4178, 7449, 10334, 9458;
1, 10, 63, 288, 1043, 3096, 7670, 15904, 27231, 36736, 33062;
... - Extended by Philippe Deléham, Feb 10 2014
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CROSSREFS
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Diagonals give A000958, A114495.
Sequence in context: A059397 A209567 A208338 * A152821 A071943 A062869
Adjacent sequences: A236915 A236916 A236917 * A236919 A236920 A236921
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane, Feb 09 2014
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EXTENSIONS
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More terms from Philippe Deléham, Feb 09 2014
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STATUS
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approved
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