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 A173965 Averages of four consecutive cubes. 1
 2, 9, 25, 56, 108, 187, 299, 450, 646, 893, 1197, 1564, 2000, 2511, 3103, 3782, 4554, 5425, 6401, 7488, 8692, 10019, 11475, 13066, 14798, 16677, 18709, 20900, 23256, 25783, 28487, 31374, 34450, 37721, 41193, 44872, 48764, 52875, 57211, 61778 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS (0^3+1^3+2^3+3^3)/4=9,.. LINKS Table of n, a(n) for n=1..40. FORMULA a(n)=(2*n-1)*(n^2-n+4)/2 = (2*n-1)*A089071(n+1) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4). G.f.: x*(1+x)*(2*x^2-x+2)/(x-1)^4. [From R. J. Mathar, Mar 31 2010] MATHEMATICA f[n_]:=(n^3+(n+1)^3+(n+2)^3+(n+3)^3)/4; Table[f[n], {n, -1, 5!}] CROSSREFS Cf. A027575, A173960, A173961, A173962 Sequence in context: A053194 A346069 A005582 * A116454 A295143 A124633 Adjacent sequences: A173962 A173963 A173964 * A173966 A173967 A173968 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Mar 03 2010 STATUS approved

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