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 A301616 a(n) = Product_{k=1..n} (k^2+(n-k+1)^2). 3
 1, 2, 25, 800, 48841, 4867200, 719580625, 147968000000, 40399053800625, 14140937699532800, 6174655078400355625, 3290389182409605120000, 2101698235513021884765625, 1585118602783467315200000000, 1393789829051727854522489390625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..200 FORMULA a(n) = A302661(n)^2 + A302662(n)^2. a(n) ~ n^(2*n) / exp(2*n - Pi*(n + 1)/2). - Vaclav Kotesovec, Apr 11 2018 MAPLE seq(mul(k^2+(n-k+1)^2, k=1..n), n=0..15); # Muniru A Asiru, Apr 11 2018 MATHEMATICA Table[Product[k^2 + (n - k + 1)^2, {k, 1, n}], {n, 0, 15}] (* Vaclav Kotesovec, Apr 11 2018 *) PROG (PARI) {a(n) = prod(k=1, n, k^2+(n-k+1)^2)} (GAP) List([0..15], n->Product([1..n], k->k^2+(n-k+1)^2)); # Muniru A Asiru, Apr 11 2018 CROSSREFS Cf. A302661, A302662. Sequence in context: A119829 A059363 A216661 * A298157 A342298 A273545 Adjacent sequences: A301613 A301614 A301615 * A301617 A301618 A301619 KEYWORD nonn AUTHOR Seiichi Manyama, Apr 11 2018 STATUS approved

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Last modified April 13 14:40 EDT 2024. Contains 371644 sequences. (Running on oeis4.)