login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A328694 a(n) = sum of lead terms of all parking functions of length n. 1
1, 4, 27, 257, 3156, 47442, 843352, 17300943, 402210240, 10448526896, 299925224064, 9426724628301, 321959469056512, 11872685912032350, 470132249600142336, 19895288956008203963, 896055382220853362688, 42793946679993786078108, 2160123874888094765056000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..200

FORMULA

a(n) = Sum_{k=1..n} k*A298592(n,k).

a(n) = A318047(n) / n.

EXAMPLE

Case n = 2: There are 3 parking functions of length 2: [1, 1], [1, 2], [2, 1]. Summing up the initial values gives 1 + 1 + 2 = 4, so a(2) = 4.

PROG

(PARI) \\ here T(n, k) is A298592(n, k).

T(n, k)={sum(j=k, n, binomial(n-1, j-1)*j^(j-2)*(n+1-j)^(n-1-j))}

a(n)={sum(k=1, n, k*T(n, k))}

CROSSREFS

Cf. A298592, A318047.

Sequence in context: A050764 A302108 A240582 * A302836 A301335 A177379

Adjacent sequences:  A328691 A328692 A328693 * A328695 A328696 A328697

KEYWORD

nonn

AUTHOR

Andrew Howroyd, Oct 25 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 06:14 EDT 2021. Contains 343072 sequences. (Running on oeis4.)