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 A084857 Inverse binomial transform of n^2*3^(n-1). 2
 0, 1, 10, 48, 176, 560, 1632, 4480, 11776, 29952, 74240, 180224, 430080, 1011712, 2351104, 5406720, 12320768, 27852800, 62521344, 139460608, 309329920, 682622976, 1499463680, 3279945728, 7147094016, 15518924800, 33587986432 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Binomial transform of octagonal numbers A000567. Inverse binomial transform of A069996. LINKS Index entries for linear recurrences with constant coefficients, signature (6,-12,8). FORMULA a(n)=n(3n - 1)2^(n - 2). O.g.f.: -x*(1+4*x)/(-1+2*x)^3. - R. J. Mathar, Apr 02 2008 MATHEMATICA LinearRecurrence[{6, -12, 8}, {0, 1, 10}, 30] (* Harvey P. Dale, Dec 28 2019 *) CROSSREFS Sequence in context: A163724 A271638 A238916 * A349948 A330170 A126734 Adjacent sequences:  A084854 A084855 A084856 * A084858 A084859 A084860 KEYWORD easy,nonn AUTHOR Paul Barry, Jun 09 2003 STATUS approved

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Last modified August 13 14:01 EDT 2022. Contains 356091 sequences. (Running on oeis4.)