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Search: id:A086500
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| A086500 |
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Group the natural numbers such that the n-th group sum is divisible by the n-th triangular number: (1), (2, 3, 4), (5, 6, 7), (8, 9, 10, 11, 12), (13, 14, 15, 16, 17), (18, 19, 20, 21, 22, 23, 24), ... Sequence contains the group sum. |
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+0
2
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| 1, 9, 18, 50, 75, 147, 196, 324, 405, 605, 726, 1014, 1183, 1575, 1800, 2312, 2601, 3249, 3610, 4410, 4851, 5819, 6348, 7500, 8125, 9477, 10206, 11774, 12615, 14415, 15376, 17424, 18513, 20825, 22050, 24642, 26011, 28899, 30420, 33620, 35301
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The number of terms in the groups is given by A063196. i.e. 1,3,3,5,5,7,7,9,9,11,11,... Also the arithmetic mean of the n-th group is T(n), the n-th triangular number.
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CROSSREFS
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Cf. A063196.
Sequence in context: A000547 A138900 A057373 this_sequence A022669 A107313 A140149
Adjacent sequences: A086497 A086498 A086499 this_sequence A086501 A086502 A086503
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 28 2003
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 17 2003
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