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 A232973 Dziemianczuk's array S(i,j) read by antidiagonals. 3
 1, 3, 6, 15, 33, 60, 81, 189, 378, 675, 459, 1107, 2349, 4509, 7992, 2673, 6588, 14553, 29403, 55188, 97416, 15849, 39663, 90207, 189351, 371358, 687258, 1209951, 95175, 240894, 560115, 1211031, 2458998, 4727565, 8664813, 15227190, 576963, 1473147, 3485187 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Lars Blomberg, Table of n, a(n) for n = 0..5049 (The first 100 antidiagonals) M. Dziemianczuk, Counting Lattice Paths With Four Types of Steps, Graphs and Combinatorics, September 2013, DOI 10.1007/s00373-013-1357-1. EXAMPLE Array begins:      1,     3,     15,      81,      459,      2673,     15849, ...      6,    33,    189,    1107,     6588,     39663,    240894, ...     60,   378,   2349,   14553,    90207,    560115,   3485187, ...    675,  4509,  29403,  189351,  1211031,   7715331,  49045662, ...   7992, 55188, 371358, 2458998, 16112925, 104838219, 678790125, ...   ... PROG (PARI) \\ Dziemianczuk, Proposition 1 S(n, k)=sum(i=0, n+k, sum(j=0, i, binomial(k, j)*binomial(j, i-j)*binomial(2*k+n-i, k))); A=[]; for(i=1, 10, A=concat(A, vector(i, j, S(j-1, i-1)))); A \\ Lars Blomberg, Jul 20 2017 CROSSREFS See A122868 and A232969 for leading row row and column. Sequence in context: A323936 A305839 A322110 * A289006 A152167 A105476 Adjacent sequences:  A232970 A232971 A232972 * A232974 A232975 A232976 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Dec 05 2013 EXTENSIONS a(15)-a(38) from Lars Blomberg, Jul 20 2017 STATUS approved

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Last modified December 14 07:03 EST 2019. Contains 329978 sequences. (Running on oeis4.)