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 A244729 10*n^3. 4
 0, 10, 80, 270, 640, 1250, 2160, 3430, 5120, 7290, 10000, 13310, 17280, 21970, 27440, 33750, 40960, 49130, 58320, 68590, 80000, 92610, 106480, 121670, 138240, 156250, 175760, 196830, 219520, 243890, 270000, 297910, 327680, 359370, 393040, 428750, 466560 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA G.f.: 10*x*(1 + 4*x + x^2)/(1 - x)^4. a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. MATHEMATICA Table[10 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[10 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] PROG (Magma) [10*n^3: n in [0..40]] /* or */ I:=[0, 10, 80, 270]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; CROSSREFS Cf. similar sequences listed in A244725. Sequence in context: A251309 A206764 A253649 * A027790 A000575 A220485 Adjacent sequences: A244726 A244727 A244728 * A244730 A244731 A244732 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Jul 05 2014 STATUS approved

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Last modified July 14 17:03 EDT 2024. Contains 374322 sequences. (Running on oeis4.)