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A052173 Another version of the Catalan triangle A008315. +0
2
1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 3, 0, 2, 1, 0, 4, 0, 5, 0, 1, 0, 5, 0, 9, 0, 5, 1, 0, 6, 0, 14, 0, 14, 0, 1, 0, 7, 0, 20, 0, 28, 0, 14, 1, 0, 8, 0, 27, 0, 48, 0, 42, 0, 1, 0, 9, 0, 35, 0, 75, 0, 90, 0, 42, 1, 0, 10, 0, 44, 0, 110, 0, 165, 0, 132, 0, 1, 0, 11, 0, 54, 0, 154, 0, 275, 0, 297, 0 (list; table; graph; listen)
OFFSET

0,9

LINKS

R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6

W. F. Klostermeyer, M. E. Mays, L. Soltes and G. Trapp, A Pascal rhombus, Fibonacci Quarterly, 35 (1997), 318-328.

FORMULA

a(n, k) =a(n-1, k-2)+a(n-1, k) with a(0, 0)=1 and a(n, k)=0 if k < 0 or k > n.

EXAMPLE

1; 1 0; 1 0 1; 1 0 2 0; 1 0 3 0 2; 1 0 4 0 5 0; 1 0 5 0 9 0 5; ...

CROSSREFS

See A008315 (the main entry for this triangle) for more information.

Reflection of A053121.

Sequence in context: A120616 A108044 A104477 this_sequence A124305 A087073 A106844

Adjacent sequences: A052170 A052171 A052172 this_sequence A052174 A052175 A052176

KEYWORD

nonn,easy,tabl

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 26 2000

EXTENSIONS

More terms from Henry Bottomley (se16(AT)btinternet.com), Aug 23 2001

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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