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 A249076 a(n) = (n*(n+1))^6. 1
 0, 64, 46656, 2985984, 64000000, 729000000, 5489031744, 30840979456, 139314069504, 531441000000, 1771561000000, 5289852801024, 14412774445056, 36343632130624, 85766121000000, 191102976000000, 404961208827904, 820972403643456, 1600135042849344, 3010936384000000, 5489031744000000 (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 (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1). FORMULA a(n) = A002378(n)^6. a(n) = 64*A059978(n) for n>0. G.f.: 64*x*(x^10 + 716*x^9 + 37257*x^8 + 450048*x^7 + 1822014*x^6 + 2864328*x^5 + 1822014*x^4 + 450048*x^3 + 37257*x^2 + 716*x + 1)/(1 - x)^13. [corrected by Georg Fischer, May 10 2019] MAPLE [ seq(n^6*(n+1)^6, n = 0..100) ]; MATHEMATICA Table[(n (n + 1))^6, {n, 0, 70}] (* or *) CoefficientList[Series[64*x*(x^10 + 716 x^9 + 37257 x^8 + 450048 x^7 + 1822014 x^6 + 2864328 x^5 + 1822014 x^4 + 450048 x^3 + 37257 x^2 + 716 x + 1)/(1 - x)^13, {x, 0, 30}], x] PROG (MAGMA) [(n*(n+1))^6: n in [0..30]]; (PARI) a(n)=(n*(n+1))^6 \\ Charles R Greathouse IV, Oct 21 2014 CROSSREFS Cf. A059978; A002378: n*(n+1); A035282: n^2 *(n+1)^2; A060459: n^3 *(n+1)^3; A248619: n^4 *(n+1)^4; Sequence in context: A141092 A283924 A016830 * A103346 A123394 A069445 Adjacent sequences:  A249073 A249074 A249075 * A249077 A249078 A249079 KEYWORD nonn,easy AUTHOR Jiwoo Lee, Oct 20 2014 EXTENSIONS Incorrect term corrected by Colin Barker, Oct 21 2014 Terms a(21) and beyond corrected by Andrew Howroyd, Feb 22 2018 STATUS approved

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Last modified July 22 14:36 EDT 2019. Contains 325222 sequences. (Running on oeis4.)