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 A156003 Triangle read by rows: t0(n,m)=Binomial[3*n, m - 1]; t(n,m)=t0(n,m)+t0(n,n-m+1) 0
 2, 7, 7, 37, 18, 37, 221, 78, 78, 221, 1366, 470, 210, 470, 1366, 8569, 3078, 969, 969, 3078, 8569, 54265, 20370, 6195, 2660, 6195, 20370, 54265, 346105, 134620, 42780, 12650, 12650, 42780, 134620, 346105, 2220076, 888057, 296361, 83655, 35100 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row sums are: 2, 14, 92, 598, 3882, 25232, 164320, 1072310, 7011398, 45928174, .... LINKS B. Brainerd and T. V. Narayana, A Note on Simple Binomial Sampling Plans, Ann. Math. Statist. Volume 32, Number 3 (1961), 906-908. FORMULA t0(n,m)=Binomial[3*n, m - 1]; t(n,m)=t0(n,m)+t0(n,n-m+1). EXAMPLE {2}, {7, 7}, {37, 18, 37}, {221, 78, 78, 221}, {1366, 470, 210, 470, 1366}, {8569, 3078, 969, 969, 3078, 8569}, {54265, 20370, 6195, 2660, 6195, 20370, 54265}, {346105, 134620, 42780, 12650, 12650, 42780, 134620, 346105}, {2220076, 888057, 296361, 83655, 35100, 83655, 296361, 888057, 2220076}, {14307151, 5852955, 2036235, 597835, 169911, 169911, 597835, 2036235, 5852955, 14307151} MATHEMATICA a[n_, m_] = Binomial[3*n, m - 1]; Table[Table[a[n, m] + a[n, n - m + 1], {m, 1, n}], {n, 1, 10}]; Flatten[%] CROSSREFS Sequence in context: A090521 A090523 A164314 * A306417 A011416 A086658 Adjacent sequences:  A156000 A156001 A156002 * A156004 A156005 A156006 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Feb 01 2009 STATUS approved

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Last modified July 24 02:42 EDT 2019. Contains 325287 sequences. (Running on oeis4.)