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A156291 A triangle sequence of Cyclotomic products: t(n,m)=Product[Cyclotomic[k, m + 1], {k, 1, n}]. 0

%I

%S 1,3,8,21,104,315,105,1040,5355,19344,3255,125840,1826055,15107664,

%T 86590175,9765,880880,23738715,317260944,2684295425,16476602400,

%U 1240155,962801840,129637122615,6196423497264,150285647959475,2261529015616800

%N A triangle sequence of Cyclotomic products: t(n,m)=Product[Cyclotomic[k, m + 1], {k, 1, n}].

%C Row sums are:

%C {1, 11, 440, 25844, 103652989, 19502788129, 26313960954200884,

%C 1365438215011770727764, 13180641383420867649481463463,

%C 2480700284650078006965956163001113,...}.

%F t(n,m)=Product[Cyclotomic[k, m + 1], {k, 1, n}].

%e {1},

%e {3, 8},

%e {21, 104, 315},

%e {105, 1040, 5355, 19344},

%e {3255, 125840, 1826055, 15107664, 86590175},

%e {9765, 880880, 23738715, 317260944, 2684295425, 16476602400},

%e {1240155, 962801840, 129637122615, 6196423497264, 150285647959475, 2261529015616800, 23895819265962735},

%e {21082635, 78949750880, 33316740512055, 3878961109287264, 194920485403439075, 5432192695511553600, 97901171532649325295, 1261906017941385776960},

%e {1539032355, 59764961416160, 138630957270660855, 61097516432383695264, 9136507912315399762475, 640960712721494743924800, 25714428011251073834008815, 671549787473885210310580160, 12482727009478890399038382579},

%e {16929355905, 3645662646385760, 28419346240485475275, 31831806061271905232544, 10150660290582409136109725, 1346658457427860456986004800, 93626232388965159829626095415, 3965501495033292166883975844800, 113480471243172592617657936025689, 2363159328838505209525526536471200}

%t Clear[t, n, m, i, k];

%t t[n_, m_] = Product[Cyclotomic[k, m + 1], {k, 1, n}];

%t Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}];

%t Flatten[%]

%Y A156173

%K nonn,tabl,uned

%O 1,2

%A _Roger L. Bagula_, Feb 07 2009

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