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 A062817 a(n) = Sum_{i=0..n} i^(n - i)*(n - i)^i. 10
 0, 1, 4, 22, 152, 1251, 11980, 130908, 1607488, 21915525, 328477396, 5368649634, 95026828136, 1810930007495, 36968511612124, 804857864647544, 18615565047797520, 455834881650397833, 11780900281221329892 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS G. C. Greubel, Table of n, a(n) for n = 1..425 FORMULA a(n) ~ sqrt(Pi/3) * n^(n+1/2) / 2^(n+1/2). - Vaclav Kotesovec, Dec 20 2014 MATHEMATICA Table[Sum[i^(n-i)*(n-i)^i, {i, 0, n}], {n, 20}] (* Harvey P. Dale, Jan 14 2017 *) PROG (PARI) for(n=1, 25, print1(sum(k=0, n, k^(n-k)*(n-k)^k), ", ")) \\ G. C. Greubel, Jan 25 2017 CROSSREFS Cf. A252708, A252709, A252710. Sequence in context: A349022 A267219 A152404 * A196275 A000307 A294346 Adjacent sequences: A062814 A062815 A062816 * A062818 A062819 A062820 KEYWORD nonn,easy AUTHOR Olivier Gérard, Jun 23 2001 EXTENSIONS Prior Mathematica program deleted by Harvey P. Dale, Jan 14 2017 STATUS approved

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Last modified August 13 07:44 EDT 2024. Contains 375113 sequences. (Running on oeis4.)