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 A176159 A polynomial coefficient sequence:p(x,n,m)=(1 + Binomial[n, m]*x)^n 0
 1, 2, 2, 4, 9, 4, 8, 64, 64, 8, 16, 625, 2401, 625, 16, 32, 7776, 161051, 161051, 7776, 32, 64, 117649, 16777216, 85766121, 16777216, 117649, 64, 128, 2097152, 2494357888, 78364164096, 78364164096, 2494357888, 2097152, 128, 256, 43046721 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are: {1, 4, 17, 144, 3683, 337718, 119555979, 161721238528, 869612424389639, 17653003315264793202, 1425670580988729857215055,...}. LINKS Table of n, a(n) for n=0..37. FORMULA p(x,n,m)=(1 + Binomial[n, m]*x)^n EXAMPLE {1}, {2, 2}, {4, 9, 4}, {8, 64, 64, 8}, {16, 625, 2401, 625, 16}, {32, 7776, 161051, 161051, 7776, 32}, {64, 117649, 16777216, 85766121, 16777216, 117649, 64}, {128, 2097152, 2494357888, 78364164096, 78364164096, 2494357888, 2097152, 128}, {256, 43046721, 500246412961, 111429157112001, 645753531245761, 111429157112001, 500246412961, 43046721, 256}, {512, 1000000000, 129961739795077, 231616946283203125, 8594754748609397887, 8594754748609397887, 231616946283203125, 129961739795077, 1000000000, 512}, {1024, 25937424601, 42420747482776576, 672749994932560009201, 174913992535407978606601, 1074497011086501939579049, 174913992535407978606601, 672749994932560009201, 42420747482776576, 25937424601, 1024} MATHEMATICA Clear[p, n, m]; p[x_, n_, m_] := (1 + Binomial[n, m]*x)^n; Table[Table[ Apply[Plus, CoefficientList[p[x, n, m], x]], {m, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A021982 A165251 A264128 * A280859 A280961 A280362 Adjacent sequences: A176156 A176157 A176158 * A176160 A176161 A176162 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Apr 10 2010 STATUS approved

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Last modified February 21 07:26 EST 2024. Contains 370219 sequences. (Running on oeis4.)