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Search: id:A083176
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| 2, 6, 10, 21, 33, 52, 68, 95, 115, 174, 186, 259, 287, 344, 376, 477, 531, 610, 670, 781, 803, 948, 996, 1157, 1261, 1414, 1442, 1605, 1635, 1808, 2032, 2227, 2329, 2502, 2682, 2869, 2983, 3260, 3340, 3633, 3759, 3982, 4202, 4439, 4531, 4776, 5064, 5575
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If p > 3 is a prime then a(p) = prime(p)*(p+1)/2.
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EXAMPLE
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a(n) = A083175(n)/n.
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PROGRAM
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(PARI) for(i=1, 120, p=prime(i); s=p*((i-1)*(i))/2; t=sum(k=1, i-1, p*k); k=i; while(denominator((s+k*p)/i)>1, k++); t+=k*p; print1(t/i, ", ")) (Herrgesell)
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CROSSREFS
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Cf. A083173, A083174, A083175.
Adjacent sequences: A083173 A083174 A083175 this_sequence A083177 A083178 A083179
Sequence in context: A009325 A067716 A125518 this_sequence A103628 A034450 A112861
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 26 2003
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EXTENSIONS
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More terms from Lambert Herrgesell (zero815(AT)googlemail.com), Dec 30 2005
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