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A368553
a(n) = Sum_{k=0..n} k^k * 2^(n-k).
0
1, 3, 10, 47, 350, 3825, 54306, 932155, 18641526, 424703541, 10849407082, 307010484775, 9530121417806, 321935349427865, 11755877524413746, 461405645429686867, 19369555364568925350, 865979372615474614877, 41078366820527486805178
OFFSET
0,2
FORMULA
a(0) = 1; a(n) = 2*a(n-1) + n^n.
a(n) ~ n^n. - Vaclav Kotesovec, Jan 13 2024
PROG
(PARI) a(n) = sum(k=0, n, k^k*2^(n-k));
CROSSREFS
Sequence in context: A105748 A277746 A140964 * A220362 A121950 A005921
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Dec 29 2023
STATUS
approved