

A112541


Sum for k=0 to n of (nk)!* n^k.


1



1, 2, 8, 48, 400, 4390, 60624, 1013404, 19881728, 447085170, 11319529600, 318298578664, 9834869311488, 331059072378814, 12055438037135360, 472096504892128500, 19781301201305534464, 882991510898240350666
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OFFSET

0,2


COMMENTS

This sequence appears in the calculation of the expectation of the number of runs of an nfaced die, stopping when a face appears for the second time.


LINKS

Table of n, a(n) for n=0..17.


MAPLE

A112541 := proc(n)
add((nk)!*n^k, k=0..n) ;
end proc:
seq(A112541(n), n=0..13) ; # R. J. Mathar, Dec 16 2015


MATHEMATICA

f[n_] := Sum[(n  k)!n^k, {k, 0, n}]; Array[f, 17] (* Robert G. Wilson v *)


CROSSREFS

Sequence in context: A229233 A063075 A177386 * A052667 A327904 A006925
Adjacent sequences: A112538 A112539 A112540 * A112542 A112543 A112544


KEYWORD

nonn


AUTHOR

Roger CuculiÃ¨re, Dec 17 2005


EXTENSIONS

Corrected and extended by Robert G. Wilson v, Dec 22 2005


STATUS

approved



