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 A349886 a(n) = Sum_{k=0..n} k^(k*n). 6
 1, 2, 18, 19749, 4295498995, 298024323402930834, 10314425729813391637014599924, 256923578002288684397369021397408936103993, 6277101735598268377660667072561845282166297358613176925573 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..26 FORMULA G.f.: Sum_{k>=0} k^(k^2) * x^k/(1 - k^k * x). a(n) ~ n^(n^2). - Vaclav Kotesovec, Dec 04 2021 MATHEMATICA Table[1 + Sum[k^(k*n), {k, 1, n}], {n, 0, 10}] (* Vaclav Kotesovec, Dec 04 2021 *) a[n_] := Sum[If[k == 0, 1, k^(k*n)], {k, 0, n}]; Array[a, 9, 0] (* Amiram Eldar, Dec 04 2021 *) PROG (PARI) a(n) = sum(k=0, n, k^(k*n)); (PARI) my(N=10, x='x+O('x^N)); Vec(sum(k=0, N, k^k^2*x^k/(1-k^k*x))) CROSSREFS Cf. A031971, A062970, A249459. Sequence in context: A191554 A066361 A120929 * A007184 A067765 A293242 Adjacent sequences:  A349883 A349884 A349885 * A349887 A349888 A349889 KEYWORD nonn AUTHOR Seiichi Manyama, Dec 03 2021 STATUS approved

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Last modified August 7 23:50 EDT 2022. Contains 355995 sequences. (Running on oeis4.)