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A071946
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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).
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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,5
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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.
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EXAMPLE
| 1; 1,1; 1,2,2; 1,4,6,6; 1,6,13,19,19; ...
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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: A193597 A191490 A061598 * A053495 A096747 A167622
Adjacent sequences: A071943 A071944 A071945 * A071947 A071948 A071949
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KEYWORD
| nonn,easy,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 15 2002
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EXTENSIONS
| More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 10 2006
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