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A074123
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Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives group sum divided by n for the n-th group.
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3
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4, 3, 9, 3, 9, 3, 9, 3, 30, 33, 18, 65, 178, 46, 120, 225, 224, 175, 341, 175, 340, 121, 106, 39, 207, 251, 53, 307, 434, 291, 252, 649, 111, 1132, 372, 468, 54, 285, 541, 996, 115, 1446, 371, 1803, 424, 200, 526, 185, 488, 243, 149, 190, 55, 224, 486, 188, 170
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| A074120(n)/n.
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EXAMPLE
| (4), (6), (8, 9, 10), (12), (14, 15, 16), (18), (20, 21, 22), (24), (25, 26, 27, 28, 30, 32, 33, 34, 35), (36, 38, 39, 40, 42, 44, 45, 46), (48, 49, 50, 51), ...
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MATHEMATICA
| NextComposite[n_] := Block[{k = n + 1}, While[PrimeQ[k], k++ ]; k];
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CROSSREFS
| Cf. A002808, A074131, A074120, A074121, A074122.
Sequence in context: A159550 A155536 A095303 * A016704 A131896 A114380
Adjacent sequences: A074120 A074121 A074122 * A074124 A074125 A074126
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 27 2002
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EXTENSIONS
| Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 29 2002
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