A083175 Row sums in A083175.

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

Offset

1,1

Comments

If p is a prime then a(p) = prime(p)*T(p), where T(p) = the p-th triangular number.

Links

Table of n, a(n) for n=1..39.

Prog

(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)

Crossrefs

Cf. A083173, A083174, A083176.

Sequence in context: A296257 A301774 A286230 * A019258 A124903 A197954

Adjacent sequences: A083172 A083173 A083174 * A083176 A083177 A083178

Keyword

nonn

Author

Amarnath Murthy, Apr 26 2003

Extensions

More terms from Lambert Herrgesell (zero815(AT)googlemail.com), Dec 30 2005

Status

approved