A083173 Triangle read by rows: the n-th row contains the first n-1 multiples of prime(n) followed by the next multiple that will make the row sum a multiple of n.

2, 3, 9, 5, 10, 15, 7, 14, 21, 42, 11, 22, 33, 44, 55, 13, 26, 39, 52, 65, 117, 17, 34, 51, 68, 85, 102, 119, 19, 38, 57, 76, 95, 114, 133, 228, 23, 46, 69, 92, 115, 138, 161, 184, 207, 29, 58, 87, 116, 145, 174, 203, 232, 261, 435, 31, 62, 93, 124, 155, 186, 217, 248, 279

Offset

1,1

Links

Table of n, a(n) for n=1..64.

Example

2
3 9
5 10 15
7 14 21 42
11 22 33 44 55
13 26 39 52 65 117
17 34 51 68 85 102 119
...

Prog

(PARI) for(n=1, 20, p=prime(n); for(k=1, n-1, print1(k*p, ", ")); s=p*((n-1)*n)/2; k=n; while(denominator((s+k*p)/n)>1, k++); print(k*p, ", ")) (Herrgesell)

Crossrefs

Cf. A083174, A083175, A083176.

Sequence in context: A325645 A176570 A269559 * A120725 A253046 A324576

Adjacent sequences: A083170 A083171 A083172 * A083174 A083175 A083176

Keyword

nonn,tabl

Author

Amarnath Murthy, Apr 26 2003

Extensions

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

Status

approved