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A295577 a(1)=1; thereafter, a(n+1) = Sum_{d divides n} (n!/(d!*(n/d)!))*a(d). 4
1, 1, 2, 3, 10, 11, 192, 193, 3554, 23715, 190036, 190037, 20813718, 20813719, 1690001240, 23484574041, 182792522842, 182792522843, 50810028382044, 50810028382045, 18982767399108446, 346748732389572447, 3022335531740638048, 3022335531740638049, 1128891498261322308450, 11900565139463395908451 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
It is possible that A092986 (Maia and Mendez, 2008, Table 1) is an erroneous version of this sequence.
LINKS
M. Maia and M. Mendez, On the arithmetic product of combinatorial species, Discr. Math., 308 (2008), 5407-5427. See Table 1.
MAPLE
with(numtheory);
f:=proc(n) local d; option remember;
if n=1 then 1
else add( ((n-1)!/(d!*((n-1)/d)!))*f(d), d in divisors(n-1)); fi;
end;
[seq(f(n), n=1..40)];
MATHEMATICA
f[n_] := Block[{m = n - 1}, Plus @@ Flatten[((m!/(#!*(m/#)!))*f@#) & /@ Divisors@ m]]; f[1] = 1; Array[f, 26] (* Robert G. Wilson v, Dec 10 2017 *)
CROSSREFS
Sequence in context: A193652 A345369 A092986 * A325256 A302388 A006092
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 09 2017
STATUS
approved

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)