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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. +0
4
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; listen)
OFFSET

1,1

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

...

PROGRAM

(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.

Adjacent sequences: A083170 A083171 A083172 this_sequence A083174 A083175 A083176

Sequence in context: A089206 A127198 A065631 this_sequence A120725 A109607 A127612

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 26 2003

EXTENSIONS

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

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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