cp's OEIS Frontend

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.

A110132 a(n) = floor(n/2)^ceiling(n/2).

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%I A110132 #11 Feb 16 2025 15:47:35
%S A110132 1,0,1,1,4,8,27,81,256,1024,3125,15625,46656,279936,823543,5764801,
%T A110132 16777216,134217728,387420489,3486784401,10000000000,100000000000,
%U A110132 285311670611,3138428376721,8916100448256,106993205379072,302875106592253,3937376385699289
%N A110132 a(n) = floor(n/2)^ceiling(n/2).
%C A110132 Central coefficients T(n,floor(n/2)) of number triangle A004248. The central coefficients T(2n,n) of this triangle are n^n or A000312.
%C A110132 a(n) is the number of partitions of [n] such that each block has exactly one even element: a(5) = 8: 1235|4, 123|45, 125|34, 12|345, 1345|2, 134|25, 145|23, 14|235. - _Alois P. Heinz_, Jun 01 2023
%H A110132 Alois P. Heinz, <a href="/A110132/b110132.txt">Table of n, a(n) for n = 0..772</a>
%t A110132 Join[{1},Table[Floor[n/2]^Ceiling[n/2],{n,30}]] (* _Harvey P. Dale_, Feb 16 2025 *)
%Y A110132 Cf. A000312, A004248, A110138.
%K A110132 easy,nonn
%O A110132 0,5
%A A110132 _Paul Barry_, Jul 13 2005