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Search: id:A083175
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| 2, 12, 30, 84, 165, 312, 476, 760, 1035, 1740, 2046, 3108, 3731, 4816, 5640, 7632, 9027, 10980, 12730, 15620, 16863, 20856, 22908, 27768, 31525, 36764, 38934, 44940, 47415, 54240, 62992, 71264, 76857, 85068, 93870, 103284, 110371, 123880, 130260
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OFFSET
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1,1
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COMMENT
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If p is a prime then a(p) = prime(p)*T(p), where T(p) = the p-th triangular number.
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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, ", ")) (Herrgesell)
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CROSSREFS
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Cf. A083173, A083174, A083176.
Sequence in context: A002939 A118239 A127118 this_sequence A019258 A124903 A075352
Adjacent sequences: A083172 A083173 A083174 this_sequence A083176 A083177 A083178
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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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