login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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