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 A000956 A sequence satisfying (a(2n+1) + 1)^3 = Sum_{k=1..2n+1} a(k)^3. (Formerly M2099 N0831) 1
 2, 17, 40, 5126, 211888, 134691268742, 28539643139633848, 2443533691612948322627563638932102, 69737579558305654640845711279133047105190578109248 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS John Cerkan, Table of n, a(n) for n = 1..14 D. A. Klarner, Sequences of k-th powers with k-th power partial sums, Math. mag., 37 (1964), 165-167. D. A. Klarner, Sequences of k-th powers with k-th power partial sums, Math. Mag., 37 (1964), 165-167. Annotated scanned copy. FORMULA a(1)=2, a(2)=17, a(3)=40, a(2n+2) = 3*a(2n+1)^2 + 8*a(2n+1) + 6, a(2n+3) = 3*a(2n+1)^3 + 12*a(2n+1)^2 + 17*a(2n+1) + 8. - Sean A. Irvine, Sep 16 2011 MATHEMATICA a = 2; a = 17; a = 40; a[n_] := a[n] = If[EvenQ[n], 3*a[n-1]^2 + 8*a[n-1] + 6, 3*a[n-2]^3 + 12*a[n-2]^2 + 17*a[n-2] + 8]; a /@ Range (* Jean-François Alcover, Oct 22 2019 *) CROSSREFS Sequence in context: A069042 A121923 A212276 * A031906 A045390 A289135 Adjacent sequences: A000953 A000954 A000955 * A000957 A000958 A000959 KEYWORD nonn AUTHOR EXTENSIONS One more term from Sean A. Irvine, Sep 15 2011 STATUS approved

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Last modified February 6 11:02 EST 2023. Contains 360104 sequences. (Running on oeis4.)