This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A114957 #24 Sep 10 2024 08:45:02
%S A114957 1,1,2,4,9,26,96,517,4589,80409,3546873,544383737,445042712531,
%T A114957 3398279290987133,510914600201184438040,4084427005585662985398294639,
%U A114957 6528922582874884079540382952631569851,12202683821888699966029264978793346242448495941305
%N A114957 a(n) = ceiling(a(n-1)^(4/3) + a(n-2)^(4/3)), with a(0) = a(1) = 1.
%e A114957 a(2) = ceiling(a(0)^(4/3) + a(1)^(4/3)) = ceiling(1^(4/3) + 1^(4/3)) = 2.
%e A114957 a(3) = ceiling(a(1)^(4/3) + a(2)^(4/3)) = ceiling(1^(4/3) + 2^(4/3)) = ceiling(3.5198421) = 4.
%e A114957 a(4) = ceiling(2^(4/3) + 4^(4/3)) = ceiling(8.86944631) = 9.
%e A114957 a(5) = ceiling(4^(4/3) + 9^(4/3)) = ceiling(25.0703586) = 26.
%e A114957 a(6) = ceiling(9^(4/3) + 26^(4/3)) = ceiling(95.7456522) = 96.
%e A114957 a(7) = ceiling(26^(4/3) + 96^(4/3)) = ceiling(516.595167) = 517.
%e A114957 a(8) = ceiling(96^(4/3) + 517^(4/3)) = ceiling(4588.99022) = 4589.
%t A114957 Nest[Append[#,Ceiling[Total[Take[#,-2]^(4/3)]]]&,{1,1},17] (* _Harvey P. Dale_, Apr 21 2011 *)
%Y A114957 Cf. A000283, A112961, A112969, A114793.
%K A114957 easy,nonn
%O A114957 0,3
%A A114957 _Jonathan Vos Post_, Feb 21 2006
%E A114957 Corrected and extended by _Harvey P. Dale_, Apr 21 2011
%E A114957 Comments edited by _Petros Hadjicostas_, Nov 03 2019