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 A254028 a(n) = 2^(n+1) + 3^n + 3. 8
 6, 10, 20, 46, 116, 310, 860, 2446, 7076, 20710, 61100, 181246, 539636, 1610710, 4815740, 14414446, 43177796, 129402310, 387944780, 1163310046, 3488881556, 10464547510, 31389448220, 94159956046, 282463090916, 847355718310 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This is the sequence of third terms of "second partial sums of m-th powers". LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Luciano Ancora, Demonstration of formulas Index entries for linear recurrences with constant coefficients, signature (6,-11,6). FORMULA G.f.: -2*(13*x^2-13*x+3) / ((x-1)*(2*x-1)*(3*x-1)). - Colin Barker, Jan 24 2015 a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3). - Colin Barker, Jan 24 2015 a(n) = A085279(n+1) = 2*( A099754(n)+1 ) = 2*( A094374(n)-2 ). [Bruno Berselli, Jan 26 2015] PROG (PARI) a(n)=2<

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Last modified July 26 15:49 EDT 2021. Contains 346294 sequences. (Running on oeis4.)