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 A129936 (n-2)*(n+3)*(n+2)/6. 5
 -2, -2, 0, 5, 14, 28, 48, 75, 110, 154, 208, 273, 350, 440, 544, 663, 798, 950, 1120, 1309, 1518, 1748, 2000, 2275, 2574, 2898, 3248, 3625, 4030, 4464, 4928, 5423, 5950, 6510, 7104, 7733, 8398, 9100, 9840, 10619, 11438, 12298, 13200, 14145, 15134, 16168, 17248 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Essentially the same as A005586. LINKS Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = binomial(n + 3, 3) - (n + 3)*(n + 2)/2. a(n) = A214292(n+2,2). - Reinhard Zumkeller, Jul 12 2012 G.f.: (x^3-4*x^2+6*x-2)/(x-1)^4. - Colin Barker, Sep 05 2012 a(n) = sum_{i=1..n+2} i*(n-i+1). - Wesley Ivan Hurt, Sep 21 2013 a(n+2) = A000292(n+1) + A034856(n), n>0. - Wesley Ivan Hurt, Sep 21 2013 MAPLE seq(sum(i*(k-i+1), i=1..k+2), k=0..99); # Wesley Ivan Hurt, Sep 21 2013 MATHEMATICA f[n_] = Binomial[n + 3, 3] - (n + 3)*(n + 2)/2; Table[f[n], {n, 0, 30}] PROG (PARI) a(n)=(n-2)*(n+3)*(n+2)/6 \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Cf. A000292, A034856, A214292. Sequence in context: A100334 A277295 A254749 * A253180 A295214 A221408 Adjacent sequences:  A129933 A129934 A129935 * A129937 A129938 A129939 KEYWORD easy,sign AUTHOR Roger L. Bagula, Jun 09 2007 EXTENSIONS More terms from Wesley Ivan Hurt, Sep 21 2013 STATUS approved

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Last modified January 23 19:45 EST 2020. Contains 331175 sequences. (Running on oeis4.)