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 A236918 Triangle read by rows: Catalan triangle of the k-Fibonacci sequence. 1
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS 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 LINKS 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. EXAMPLE 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 CROSSREFS Diagonals give A000958, A114495. Sequence in context: A059397 A209567 A208338 * A152821 A071943 A062869 Adjacent sequences:  A236915 A236916 A236917 * A236919 A236920 A236921 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Feb 09 2014 EXTENSIONS More terms from Philippe Deléham, Feb 09 2014 STATUS approved

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Last modified April 16 18:53 EDT 2021. Contains 343050 sequences. (Running on oeis4.)