A375839
a(n) = Product_{k=0..n} (k^2 + n).
Original entry on oeis.org
0, 2, 36, 1008, 41600, 2381400, 180457200, 17467670528, 2100621828096, 306960977700000, 53529274174376000, 10973787848179200000, 2611472797582941487104, 713649909809783275801472, 221870902844468552220000000, 77837994361783539267010560000
Offset: 0
-
Table[Product[k^2 + n, {k, 0, n}], {n, 0, 15}]
Round[Table[Sqrt[n] * Gamma[1 - I*Sqrt[n] + n] * Gamma[1 + I*Sqrt[n] + n] * Sinh[Sqrt[n]*Pi] / Pi, {n, 0, 15}]]
A375840
a(n) = Product_{k=0..n} (k^3 + n).
Original entry on oeis.org
0, 2, 60, 3960, 505920, 111945600, 39501498960, 20891200176000, 15785674348953600, 16407441209402496000, 22748452701706791576000, 41018285140626186366336000, 94161166261926730618189824000, 270252010494895412092926136320000, 954766647796042233397162343121696000
Offset: 0
-
Table[Product[k^3 + n, {k, 0, n}], {n, 0, 15}]
A375841
a(n) = Product_{k=0..n} (k^4 + n).
Original entry on oeis.org
0, 2, 108, 19152, 8840000, 8908817400, 17303456226672, 59111538137501696, 331331804053754904576, 2885800103371503562500000, 37384163240259410286768056000, 694933775143924511454539020849152, 17989643936954432911290280974476623872, 632268529759009258574304284235050340614528
Offset: 0
-
Table[Product[k^4 + n, {k, 0, n}], {n, 0, 15}]
A375843
a(n) = Product_{k=0..n} (k^6 + n).
Original entry on oeis.org
0, 2, 396, 588528, 4087208000, 97390176449400, 6465177278417919600, 1030450155933504769261568, 352805275175791344554903371776, 238031797291547406166218644352900000, 295416986525310718941438520613968960376000
Offset: 0
-
Table[Product[k^6 + n, {k, 0, n}], {n, 0, 15}]
A375844
a(n) = Product_{k=0..n} (k^7 + n).
Original entry on oeis.org
0, 2, 780, 3442680, 94792125120, 11199115535025600, 4424488981755473751120, 4897251346805306604631152000, 13309618365562299179087873337753600, 80202481690565843837334237727510974259200, 987936620325246799505617855507952109963809976000
Offset: 0
-
Table[Product[k^7 + n, {k, 0, n}], {n, 0, 15}]
A375845
a(n) = Product_{k=0..n} (k^8 + n).
Original entry on oeis.org
0, 2, 1548, 20400912, 2237404520000, 1316258829530177400, 3107531556500789042401392, 23981023412887138890925360910336, 519343443733819692494314622381817102336, 28055691989665530513724742545624840551562500000
Offset: 0
-
Table[Product[k^8 + n, {k, 0, n}], {n, 0, 15}]
Showing 1-6 of 6 results.
Comments