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A101609 a(n) = n! * Sum_{k=1..floor(n/2)} 1/k. 4

%I #7 Feb 06 2017 20:14:00

%S 0,2,6,36,180,1320,9240,84000,756000,8285760,91143360,1173553920,

%T 15256200960,226040855040,3390612825600,56865153945600,

%U 966707617075200,18112111963545600,344130127307366400,7125892746964992000

%N a(n) = n! * Sum_{k=1..floor(n/2)} 1/k.

%F a(1) = 0, a(n) = a(n-1)*n + (1 + (-1)^n)*(n-1)!. - _Daniel Suteu_, Feb 06 2017

%t Table[ n! HarmonicNumber[ Floor[ n/2]], {n, 20}] (* _Robert G. Wilson v_, Dec 11 2004 *)

%Y Cf. A101610, A101611, A101612, A101613, A000254, A046673, A052517.

%K nonn,easy

%O 1,2

%A _Ralf Stephan_, Dec 10 2004

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Last modified July 13 15:41 EDT 2024. Contains 374284 sequences. (Running on oeis4.)