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A076105
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a(1)=1 (first row) and then the n-th row of this triangle contains the least set of n unused natural numbers whose sum is a multiple of the sum of the previous row.
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6
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1, 2, 3, 4, 5, 6, 7, 8, 9, 21, 10, 11, 12, 13, 44, 14, 15, 16, 17, 18, 100, 19, 20, 22, 23, 24, 25, 47, 26, 27, 28, 29, 30, 31, 32, 157, 33, 34, 35, 36, 37, 38, 39, 40, 68, 41, 42, 43, 45, 46, 48, 49, 50, 51, 305, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 155, 62, 63, 64, 65, 66, 67
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The first (n-1) terms of the n-th row contain n-1 smallest natural numbers which have not occurred earlier and the last term is chosen to satisfy the requirement. Permutation A094280 is defined similarly, but the sum of the next row must be greater than that of the current row.
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LINKS
| Index entries for sequences that are permutations of the natural numbers
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EXAMPLE
| 1; 2,3; 4,5,6; 7,8,9,21; 10,11,12,13,44; 14,15,16,17,18,100;
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CROSSREFS
| Inverse: A122154. Cf. A076101, A076102, A076103, A076104.
Sequence in context: A180412 A114800 A079170 * A094280 A082323 A069571
Adjacent sequences: A076102 A076103 A076104 * A076106 A076107 A076108
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KEYWORD
| nonn,tabl
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 08 2002
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EXTENSIONS
| More terms from David Wasserman (dwasserm(AT)earthlink.net), Apr 02 2005. Description edited by Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Aug 25 2006
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