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 A000955 A sequence satisfying (a(2n+1) + 1)^3 = Sum_{k=1..2n+1} a(k)^3. (Formerly M4073 N1688) 2
 1, 6, 8, 262, 2448, 17997702, 44082372248, 5829766629386380698502, 256989942683351711945337288361248, 198131491921177194311506308094238133848780474484255622782351242502 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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 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)=1, a(2)=6, a(3)=8, 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 = 1; a = 6; a = 8; 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]; Array[a, 10] (* Jean-François Alcover, Feb 15 2016, after Sean A. Irvine *) CROSSREFS Sequence in context: A169971 A295429 A267165 * A027721 A264518 A259129 Adjacent sequences:  A000952 A000953 A000954 * A000956 A000957 A000958 KEYWORD nonn AUTHOR EXTENSIONS One more term from Sean A. Irvine, Sep 15 2011 STATUS approved

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Last modified June 15 18:20 EDT 2021. Contains 345049 sequences. (Running on oeis4.)