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 A324441 a(n) = Product_{k1=1..n, k2=1..n, k3=1..n, k4=1..n} (k1 + k2 + k3 + k4). 1
 4, 2240421120000, 2357018782335863659143506877669927151046989269393693317529600000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Next term is too long to be included. Limit_{n->infinity} ((Product_{k1=1..n, k2=1..n, k3=1..n, k4=1..n, k5=1..n} (k1 + k2 + k3 + k4 + k5))^(1/n^5))/n = 2^(-88) * 3^(81/4) * 5^(625/24) * exp(-137/60). Limit_{n->infinity} ((Product_{k1=1..n, k2=1..n, k3=1..n, k4=1..n, k5=1..n, k6=1..n} (k1 + k2 + k3 + k4 + k5 + k6))^(1/n^6))/n = 2^(1184/5) * 3^(891/20) * 5^(-3125/24) * exp(-49/20). Limit_{n->infinity} ((Product_{k1=1..n, k2=1..n, k3=1..n, k4=1..n, k5=1..n, k6=1..n, k7=1..n} (k1 + k2 + k3 + k4 + k5 + k6 + k7))^(1/n^7))/n = 2^(-5552/9) * 3^(-29889/80) * 5^(15625/48) * 7^(117649/720) * exp(-363/140). LINKS FORMULA Limit_{n->infinity} (a(n)^(1/n^4))/n = 2^(76/3) * 3^(-27/2) * exp(-25/12) = 1.9062335728830251698721203... MATHEMATICA Table[Product[k1 + k2 + k3 + k4, {k1, 1, n}, {k2, 1, n}, {k3, 1, n}, {k4, 1, n}], {n, 1, 5}] CROSSREFS Cf. A079478, A306594. Sequence in context: A161405 A147876 A164796 * A004231 A266200 A066546 Adjacent sequences:  A324438 A324439 A324440 * A324442 A324443 A324444 KEYWORD nonn AUTHOR Vaclav Kotesovec, Feb 28 2019 STATUS approved

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Last modified December 2 16:17 EST 2021. Contains 349445 sequences. (Running on oeis4.)