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A134958 Number of hypertrees with n labeled vertices: analog of A030019 when edges of size 1 are allowed (with no two equal edges). 10
1, 2, 4, 32, 464, 9952, 284608, 10207360, 441006336, 22312355840, 1294525492224, 84749726259200, 6181332806029312, 497099907500220416, 43702202601439608832, 4169993748235341529088, 429217455330896263577600, 47406138617171801211797504 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..338

FORMULA

Equals 2^n*A030019(n).

MAPLE

a:= n-> 2^n*`if`(n=0, 1, add(Stirling2(n-1, i)*n^(i-1), i=0...n-1)):

seq(a(n), n=0..18);  # Alois P. Heinz, Aug 21 2019

CROSSREFS

Sequence in context: A144937 A009110 A225170 * A101460 A304862 A118992

Adjacent sequences:  A134955 A134956 A134957 * A134959 A134960 A134961

KEYWORD

nonn

AUTHOR

Don Knuth, Jan 26 2008

STATUS

approved

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Last modified January 29 07:03 EST 2020. Contains 331337 sequences. (Running on oeis4.)