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A368489 a(n) = Sum_{k=0..n} n^k * binomial(k+n,k). 1
1, 3, 31, 643, 20421, 873806, 46994011, 3042431715, 230249448841, 19940350062394, 1944516598602711, 210829412453667998, 25156743053019602701, 3275876521195372322892, 462262670054775645538099, 70264375447526610838701091 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = [x^n] 1/((1-x) * (1-n*x)^(n+1)).
a(n) ~ 4^n * n^(n - 1/2) / sqrt(Pi). - Vaclav Kotesovec, Dec 27 2023
PROG
(PARI) a(n) = sum(k=0, n, n^k*binomial(k+n, k));
CROSSREFS
Sequence in context: A370260 A222895 A105293 * A104841 A092552 A322487
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Dec 27 2023
STATUS
approved

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Last modified May 21 07:02 EDT 2024. Contains 372729 sequences. (Running on oeis4.)