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).

Original entry on oeis.org

1, 0, 1, 1, 4, 8, 27, 81, 256, 1024, 3125, 15625, 46656, 279936, 823543, 5764801, 16777216, 134217728, 387420489, 3486784401, 10000000000, 100000000000, 285311670611, 3138428376721, 8916100448256, 106993205379072, 302875106592253, 3937376385699289
Offset: 0

Views

Author

Paul Barry, Jul 13 2005

Keywords

Comments

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.
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

Crossrefs

Programs

  • Mathematica
    Join[{1},Table[Floor[n/2]^Ceiling[n/2],{n,30}]] (* Harvey P. Dale, Feb 16 2025 *)