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 A156291 A triangle sequence of Cyclotomic products: t(n,m)=Product[Cyclotomic[k, m + 1], {k, 1, n}]. 0
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums are: {1, 11, 440, 25844, 103652989, 19502788129, 26313960954200884, 1365438215011770727764, 13180641383420867649481463463, 2480700284650078006965956163001113,...}. LINKS Table of n, a(n) for n=1..28. FORMULA T(n,m) = Product_{k=1..n} Cyclotomic(k, m + 1). EXAMPLE {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}, MATHEMATICA 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[%] PROG (PARI) T(n, m) = prod(k=1, n, polcyclo(k, m+1)); \\ Michel Marcus, Feb 08 2023 CROSSREFS Cf. A156173. Sequence in context: A148769 A361574 A353424 * A111136 A348636 A063937 Adjacent sequences: A156288 A156289 A156290 * A156292 A156293 A156294 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Feb 07 2009 STATUS approved

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Last modified December 2 17:19 EST 2023. Contains 367525 sequences. (Running on oeis4.)