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A083173
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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.
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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
...
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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)
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CROSSREFS
| Cf. A083174, A083175, A083176.
Sequence in context: A127198 A065631 A176570 * A120725 A109607 A127612
Adjacent sequences: A083170 A083171 A083172 * A083174 A083175 A083176
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 26 2003
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EXTENSIONS
| More terms and better description from Lambert Herrgesell (zero815(AT)googlemail.com), Dec 30 2005
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