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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A110139 a(n) = floor(n/2)^floor(n/2). 1 1, 1, 1, 1, 4, 4, 27, 27, 256, 256, 3125, 3125, 46656, 46656, 823543, 823543, 16777216, 16777216, 387420489, 387420489, 10000000000, 10000000000, 285311670611, 285311670611, 8916100448256, 8916100448256, 302875106592253 (list; graph; refs; listen; history; text; internal format) OFFSET 0,5 LINKS Table of n, a(n) for n=0..26. FORMULA a(n) = (n/2)^(n/2)(1+(-1)^n)/2+((n-1)/2)^((n-1)/2)(1-(-1)^n)/2. a(2n) = a(2n+1) = n^n = A000312(n). PROG (Python) def A110139(n): return (m:=n>>1)**m # Chai Wah Wu, Jan 18 2023 CROSSREFS Cf. A000312. Sequence in context: A117429 A132650 A112953 * A078146 A066836 A227715 Adjacent sequences: A110136 A110137 A110138 * A110140 A110141 A110142 KEYWORD easy,nonn AUTHOR Paul Barry, Jul 13 2005 STATUS approved

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Last modified August 18 13:06 EDT 2024. Contains 375269 sequences. (Running on oeis4.)