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 A233203 Floor(n^n / 2^n). 2
 1, 0, 1, 3, 16, 97, 729, 6433, 65536, 756680, 9765625, 139312339, 2176782336, 36972058910, 678223072849, 13363461010158, 281474976710656, 6311342330065435, 150094635296999121, 3773536025353076151, 100000000000000000000, 2785962590401641140642, 81402749386839761113321 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA a(n) = floor((n/2)^n). EXAMPLE a(5) = floor(5^5 / 2^5) = floor(3125 / 32) = 97. MAPLE A233203:=n->floor((n/2)^n); seq(A233203(n), n=0..30); # Wesley Ivan Hurt, Feb 26 2014 MATHEMATICA Table[Floor[(n/2)^n], {n, 0, 30}] (* Wesley Ivan Hurt, Feb 26 2014 *) PROG (Python) for n in range(33):  print str(n**n >> n)+', ', CROSSREFS Cf. A000079, A000312, A178537 (n^n mod 2^n for odd n), A206344. Bisection gives: A062206 (even part). Sequence in context: A157016 A228792 A295810 * A074553 A303831 A193037 Adjacent sequences:  A233200 A233201 A233202 * A233204 A233205 A233206 KEYWORD nonn AUTHOR Alex Ratushnyak, Dec 05 2013 STATUS approved

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Last modified May 7 10:31 EDT 2021. Contains 343650 sequences. (Running on oeis4.)