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A320214 Number of multisets of nonempty words with a total of n letters over quaternary alphabet such that all letters occur at least once in the multiset. 3
73, 1028, 9182, 66584, 428653, 2557972, 14496714, 79179724, 420817947, 2190356332, 11216217292, 56689332604, 283477764373, 1404999644584, 6911375241384, 33778491898132, 164157640596783, 793799200891568, 3821351207383146, 18321693995577480, 87520485093330489 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 4..1000

MAPLE

b:= proc(n, k) option remember; `if`(n=0, 1, add(add(

d*k^d, d=numtheory[divisors](j))*b(n-j, k), j=1..n)/n)

end:

a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(4):

seq(a(n), n=4..25);

CROSSREFS

Column k=4 of A257740.

Cf. A320205.

Sequence in context: A057522 A320205 A305549 * A346642 A008400 A090685

Adjacent sequences: A320211 A320212 A320213 * A320215 A320216 A320217

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2018

STATUS

approved

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Last modified December 4 23:46 EST 2022. Contains 358572 sequences. (Running on oeis4.)