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 A248619 a(n) = (n*(n+1))^4. 4
 0, 16, 1296, 20736, 160000, 810000, 3111696, 9834496, 26873856, 65610000, 146410000, 303595776, 592240896, 1097199376, 1944810000, 3317760000, 5473632256, 8767700496, 13680577296, 20851360000, 31116960000, 45558341136, 65554433296, 92844527616, 129600000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1). FORMULA a(n) = A002378(n)^4 = A016744(A000217(n)). a(n) = 16*A059977(n) for n>0. G.f.: 16*x*(1 + 72*x + 603*x^2 + 1168*x^3 + 603*x^4 + 72*x^5 + x^6)/(1 - x)^9. - Vincenzo Librandi, Oct 16 2014 Sum_{n>=1} 1/a(n) = A327773 = -35 + 10*Pi^2/3 + Pi^4/45. - Vaclav Kotesovec, Sep 25 2019 MAPLE [ seq(n^4*(n+1)^4, n = 0..100) ]; MATHEMATICA Table[(n (n + 1))^4, {n, 0, 70}] (* or *) CoefficientList[Series[16 x (1 + 72 x + 603 x^2 + 1168 x^3 + 603 x^4 + 72 x^5 + x^6)/(1 - x)^9, {x, 0, 30}], x] (* Vincenzo Librandi, Oct 16 2014 *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 16, 1296, 20736, 160000, 810000, 3111696, 9834496, 26873856}, 30] (* Harvey P. Dale, Sep 09 2016 *) PROG (MAGMA) [(n*(n+1))^4: n in [0..30]]; // Vincenzo Librandi, Oct 16 2014 CROSSREFS Cf. A016744, A059977; A002378: n*(n+1); A035287: n^2 *(n-1)^2; A060459: n^3*(n+1)^3. Cf. A327773. Sequence in context: A016828 A072161 A173544 * A334585 A163929 A072914 Adjacent sequences:  A248616 A248617 A248618 * A248620 A248621 A248622 KEYWORD nonn,easy AUTHOR Eugene Chong, Oct 09 2014 EXTENSIONS Terms a(76) and beyond corrected by Andrew Howroyd, Feb 20 2018 STATUS approved

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Last modified July 27 17:57 EDT 2021. Contains 346308 sequences. (Running on oeis4.)