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A081133
a(n) = n^n*binomial(n+2, 2).
7
1, 3, 24, 270, 3840, 65625, 1306368, 29647548, 754974720, 21308126895, 660000000000, 22254310307658, 811365140791296, 31801886192186565, 1333440819066961920, 59553569091796875000, 2822351843277561397248
OFFSET
0,2
COMMENTS
A diagonal of A081130.
LINKS
FORMULA
a(n) = n^n*(n+1)*(n+2)/2.
MAPLE
seq(n^n*binomial(n+2, 2), n=0..20); # G. C. Greubel, May 18 2021
MATHEMATICA
Join[{1}, Table[n^n Binomial[n+2, 2], {n, 20}]] (* Harvey P. Dale, Dec 27 2011 *)
PROG
(Magma) [(n^n*Binomial(n+2, 2)): n in [0..20]]; // Vincenzo Librandi, Sep 22 2011
(Sage) [n^n*binomial(n+2, 2) for n in (0..20)] # G. C. Greubel, May 18 2021
CROSSREFS
Sequences of the form (n+m)^n*binomial(n+2,2): this sequence (m=0), A081132 (m=1), A081131 (m=2), A053507 (m=3), A081196 (m=4).
Sequence in context: A233833 A219536 A194957 * A352278 A218223 A276360
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Mar 08 2003
STATUS
approved