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A368524 a(n) = Sum_{k=1..n} k^2 * n^(n-k). 4
0, 1, 6, 30, 180, 1455, 15666, 213500, 3521736, 68101245, 1508916310, 37661140506, 1045012524348, 31900040161899, 1062139933257690, 38299757176168440, 1486670929792295696, 61800664096000744569, 2738952078516469743678, 128909373997071187219990 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = [x^n] x * (1+x)/((1-n*x) * (1-x)^3).
a(n) = n * (n+1) * (n^n - n^2 + n - 1)/(n-1)^3 for n > 1.
PROG
(PARI) a(n) = sum(k=1, n, k^2*n^(n-k));
CROSSREFS
Sequence in context: A063888 A029571 A357599 * A259276 A109501 A239488
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Dec 28 2023
STATUS
approved

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Last modified April 14 14:09 EDT 2024. Contains 371665 sequences. (Running on oeis4.)