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A062814
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a(n) = Sum_{i=0..n-1} i * (n - i)^(n - i).
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1
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0, 1, 6, 38, 326, 3739, 53808, 927420, 18578248, 423649565, 10828720882, 306545462810, 9518362652994, 321605286435431, 11745699035775884, 461063683165975712, 19357125741005727156, 865493449685182242777
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OFFSET
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1,3
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COMMENTS
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LINKS
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Andrew Cusumano, Problem 11724, The American Mathematical Monthly, Vol. 120, No. 7 (2013), p. 661; A Limit Computation, Solution to Problem 11724 by Hosam M. Mahmoud, ibid., Vol. 122, No. 7 (2015), pp. 706-707.
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FORMULA
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Limit_{n->oo} a(n+2)/a(n+1) - a(n+1)/a(n) = e (Cusumano, 2013). (End)
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MATHEMATICA
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Table[Sum[i*(n - i)^(n - i), {i, 0, -1 + n}], {n, 1, 18}]
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PROG
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(PARI) a(n) = sum(i=0, n-1, i*(n-i)^(n-i)); \\ Michel Marcus, Mar 26 2019
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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