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 A174040 A triangle sequence of the form:q=3:t(n,m,q)=Sum[q^i*Floor[Eulerian[n + 1, m]/2^i], {i, 0, 10}] 0
 1, 1, 1, 1, 19, 1, 1, 71, 71, 1, 1, 281, 2064, 281, 1, 1, 942, 19925, 19925, 942, 1, 1, 3000, 182094, 372304, 182094, 3000, 1, 1, 9265, 708780, 2645662, 2645662, 708780, 9265, 1, 1, 28435, 2470768, 15065554, 26673373, 15065554, 2470768, 28435, 1, 1, 86456 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 21, 144, 2628, 41736, 742494, 6727416, 61802889, 620052978, 6825051876,...}. LINKS FORMULA q=3: t(n,m,q)=Sum[q^i*Floor[Eulerian[n + 1, m]/2^i], {i, 0, 10}] EXAMPLE {1}, {1, 1}, {1, 19, 1}, {1, 71, 71, 1}, {1, 281, 2064, 281, 1}, {1, 942, 19925, 19925, 942, 1}, {1, 3000, 182094, 372304, 182094, 3000, 1}, {1, 9265, 708780, 2645662, 2645662, 708780, 9265, 1}, {1, 28435, 2470768, 15065554, 26673373, 15065554, 2470768, 28435, 1}, \ Q{1, 86456, 8121608, 77802257, 224016167, 224016167, 77802257, 8121608, 86456, 1}, {1, 261554, 26090712, 376717869, 1665099897, 2688711810, 1665099897, 376717869, 26090712, 261554, 1} MATHEMATICA << DiscreteMath`Combinatorica` t[n_, m_, q_] = Sum[q^i*Floor[Eulerian[n + 1, m]/2^i], {i, 0, 10}]; Table[Flatten[Table[Table[t[n, m, q], {m, 0, n}], {n, 0, 10}]], {q, 1, 10}] CROSSREFS Sequence in context: A040362 A040361 A174097 * A176078 A022182 A015145 Adjacent sequences:  A174037 A174038 A174039 * A174041 A174042 A174043 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Mar 06 2010 STATUS approved

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Last modified September 27 22:36 EDT 2020. Contains 337388 sequences. (Running on oeis4.)