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Search: id:A156291
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| A156291 |
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A triangle sequence of Cyclotomic products: t(n,m)=Product[Cyclotomic[k, m + 1], {k, 1, n}]. |
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1
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| 1, 3, 8, 21, 104, 315, 105, 1040, 5355, 19344, 3255, 125840, 1826055, 15107664, 86590175, 9765, 880880, 23738715, 317260944, 2684295425, 16476602400, 1240155, 962801840, 129637122615, 6196423497264, 150285647959475, 2261529015616800
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums are:
{1, 11, 440, 25844, 103652989, 19502788129, 26313960954200884,
1365438215011770727764, 13180641383420867649481463463,
2480700284650078006965956163001113,...}.
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FORMULA
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t(n,m)=Product[Cyclotomic[k, m + 1], {k, 1, n}].
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EXAMPLE
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{1},
{3, 8},
{21, 104, 315},
{105, 1040, 5355, 19344},
{3255, 125840, 1826055, 15107664, 86590175},
{9765, 880880, 23738715, 317260944, 2684295425, 16476602400},
{1240155, 962801840, 129637122615, 6196423497264, 150285647959475, 2261529015616800, 23895819265962735},
{21082635, 78949750880, 33316740512055, 3878961109287264, 194920485403439075, 5432192695511553600, 97901171532649325295, 1261906017941385776960},
{1539032355, 59764961416160, 138630957270660855, 61097516432383695264, 9136507912315399762475, 640960712721494743924800, 25714428011251073834008815, 671549787473885210310580160, 12482727009478890399038382579},
{16929355905, 3645662646385760, 28419346240485475275, 31831806061271905232544, 10150660290582409136109725, 1346658457427860456986004800, 93626232388965159829626095415, 3965501495033292166883975844800, 113480471243172592617657936025689, 2363159328838505209525526536471200}
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MATHEMATICA
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Clear[t, n, m, i, k];
t[n_, m_] = Product[Cyclotomic[k, m + 1], {k, 1, n}];
Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}];
Flatten[%]
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CROSSREFS
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A156173
Sequence in context: A018038 A000737 A148769 this_sequence A111136 A063937 A027211
Adjacent sequences: A156288 A156289 A156290 this_sequence A156292 A156293 A156294
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 07 2009
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