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 A088022 #9 Feb 04 2015 23:32:04
%S A088022 2,1,1,2,3,6,12,28,68,176,484,1409,4334,14002,47357,167157,614297,
%T A088022 2345730,9290084,38092233,161436136,706061825,3182452003,14764717643,
%U A088022 70429572474,345075959701,1734987079149,8943648710357,47228775626154
%N A088022 a(n) = floor(sum_{k>=0} k^n /(k!)^3); related to generalized Bell numbers.
%F A088022 B(n) := sum_{k>=0} k^n/(k!)^3 = A000996(n)*B(0) + A000997(n)*B(1) + A000998(n)*B(2) where B(0)=2.129702548983..., B(1)=1.264181150389..., B(2)=1.542838638501...; observe that these shift 3 places left under binomial transform: A000996={1, 0, 0, 1, 1, 1, 2, 6, 17, 44, 112, 304, 918, ...}, A000997={0, 1, 0, 0, 1, 2, 3, 5, 12, 36, 110, 326, 963, ...}, A000998={0, 0, 1, 0, 0, 1, 3, 6, 11, 24, 69, 227, 753, ...}; here A000998 is offset with 5 leading terms: {0, 0, 1, 0, 0}.
%e A088022 a(8) = 68 = floor(17*2.1297 + 12*1.2641 + 11*1.5428) = floor(68.3463).
%Y A088022 Cf. A086880, A000996, A000997, A000998.
%K A088022 nonn
%O A088022 0,1
%A A088022 _Paul D. Hanna_, Sep 19 2003