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A057640
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a(n) = floor(H(n) + exp(H(n))*log(H(n))), where H(n) = Sum_{k=1..n} 1/k.
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10
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1, 3, 5, 7, 10, 12, 15, 17, 20, 23, 25, 28, 31, 33, 36, 39, 41, 44, 47, 50, 53, 56, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139, 142, 145, 149, 152, 155, 158, 161
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refs;
listen;
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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hn[n_]:=Module[{h=HarmonicNumber[n]}, Floor[h+Exp[h]Log[h]]]; Array[hn, 60] (* Harvey P. Dale, Aug 02 2013 *)
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PROG
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(PARI) first(n) = { my(h = 0, res = vector(n)); for(i = 1, n, print1(i", "); h+=1/i; res[i] = floor(h+exp(h)*log(h)) ); res } \\ David A. Corneth, Apr 28 2022
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CROSSREFS
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KEYWORD
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nonn,nice,easy
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AUTHOR
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STATUS
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approved
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