|
|
A155956
|
|
a(n) = Sum_{k=0..n} (k*n)^k.
|
|
5
|
|
|
1, 2, 19, 769, 67333, 9929106, 2201420095, 683765250589, 283214405613321, 150820803395086078, 100389106493001087411, 81663040762574177095289, 79709457342800206602843277, 91941570967455757927336110570, 123717598784707453088183544702311
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Sums of rows of the triangle in A155955.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = h(n,n) with h(n,k) = if k<0 then 0 otherwise n*h(n,k-1)+(n-k)^(n-k).
|
|
MATHEMATICA
|
Table[Sum[(k*n)^k, {k, n}], {n, 0, 20}]+1 (* Harvey P. Dale, Apr 04 2017 *)
|
|
PROG
|
(Magma) [&+[(k*n)^k: k in [0..n]]: n in [0..20]]; // Bruno Berselli, Jul 04 2016
(PARI) vector(30, n, n--; sum(k=0, n, (k*n)^k)) \\ G. C. Greubel, Sep 14 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|