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A349962
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a(n) = Sum_{k=0..n} (2*k)^k.
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3
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1, 3, 19, 235, 4331, 104331, 3090315, 108503819, 4403471115, 202762761483, 10442762761483, 594761064172811, 37115108500229387, 2518267981703965963, 184577387811646500107, 14533484387811646500107, 1223459304002440821206283, 109651494909968373175414027
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OFFSET
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0,2
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COMMENTS
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Partial sums of A062971.
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LINKS
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Seiichi Manyama, Table of n, a(n) for n = 0..351
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FORMULA
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a(n) ~ 2^n * n^n. - Vaclav Kotesovec, Dec 07 2021
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MATHEMATICA
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a[n_] := Sum[If[k == 0, 1, (2*k)^k], {k, 0, n}]; Array[a, 18, 0] (* Amiram Eldar, Dec 07 2021 *)
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PROG
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(PARI) a(n) = sum(k=0, n, (2*k)^k);
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CROSSREFS
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Cf. A062970, A062971, A349961, A349963, A349970.
Sequence in context: A228229 A323875 A001929 * A230316 A157675 A135754
Adjacent sequences: A349959 A349960 A349961 * A349963 A349964 A349965
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KEYWORD
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nonn,easy
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AUTHOR
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Seiichi Manyama, Dec 07 2021
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STATUS
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approved
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