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 A244730 a(n) = 2*n^4. 3
 0, 2, 32, 162, 512, 1250, 2592, 4802, 8192, 13122, 20000, 29282, 41472, 57122, 76832, 101250, 131072, 167042, 209952, 260642, 320000, 388962, 468512, 559682, 663552, 781250, 913952, 1062882, 1229312, 1414562, 1620000, 1847042, 2097152, 2371842, 2672672 (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 (5,-10,10,-5,1). FORMULA G.f.: 2*(x + 11*x^2 + 11*x^3 + x^4)/(1 - x)^5. a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5) for n>4. a(n) = (A082044(n) + A099761(n+1)-2)/2. - Bruce J. Nicholson, Jun 12 2017 MATHEMATICA Table[2 n^4, {n, 0, 40}] (* or *) CoefficientList[Series[2(x + 11 x^2 + 11 x^3 + x^4)/(1 - x)^5, {x, 0, 40}], x] LinearRecurrence[{5, -10, 10, -5, 1}, {0, 2, 32, 162, 512}, 40] (* Harvey P. Dale, Jun 17 2022 *) PROG (Magma) [2*n^4: n in [0..40]] /* or */ I:=[0, 2, 32, 162, 512]; [n le 5 select I[n] else 5*Self(n-1)-10*Self(n-2)+10*Self(n-3)-5*Self(n-4)+Self(n-5): n in [1..40]]; CROSSREFS Cf. A000583, A141046, A219056. Sequence in context: A123287 A236550 A012642 * A169833 A228582 A128789 Adjacent sequences: A244727 A244728 A244729 * A244731 A244732 A244733 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Jul 05 2014 STATUS approved

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Last modified July 18 06:54 EDT 2024. Contains 374377 sequences. (Running on oeis4.)