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A071946 Triangle T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R=(1,0), V=(0,1) and D=(3,1). +0
6
1, 1, 1, 1, 2, 2, 1, 4, 6, 6, 1, 6, 13, 19, 19, 1, 8, 23, 44, 63, 63, 1, 10, 37, 87, 156, 219, 219, 1, 12, 55, 155, 330, 568, 787, 787, 1, 14, 77, 255, 629, 1260, 2110, 2897, 2897, 1, 16, 103, 395, 1111, 2527, 4856, 7972, 10869, 10869, 1, 18, 133, 583, 1849, 4706 (list; table; graph; listen)
OFFSET

0,5

LINKS

D. Merlini, D. G. Rogers, R. Sprugnoli and M. C. Verri, On some alternative characterizations of Riordan arrays, Canad J. Math., 49 (1997), 301-320.

EXAMPLE

1; 1,1; 1,2,2; 1,4,6,6; 1,6,13,19,19; ...

CROSSREFS

Related arrays: A071943, A071945, A071945.

A108076 is the reverse, A119254 is the row sums and A119255 is the last (largest) number in each row.

Sequence in context: A112307 A111062 A061598 this_sequence A053495 A096747 A167622

Adjacent sequences: A071943 A071944 A071945 this_sequence A071947 A071948 A071949

KEYWORD

nonn,easy,tabl

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 15 2002

EXTENSIONS

More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 10 2006

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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