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Search: id:A088099
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A088099 Group the natural numbers with at least two members in each group such that the n-th group sum is a multiple of n: (1, 2), (3, 4, 5), (6, 7, 8), (9, 10, 11, 12, 13, 14, 15), (16, 17, 18, 19), (20, 21, 22, 23, 24, 25, 26, 27, 28), (29, 30, 31, 32, 33, 34), ... Sequence contains the group sums. +0
3
3, 12, 21, 84, 70, 216, 189, 440, 396, 280, 242, 192, 858, 1092, 465, 3568, 2312, 1188, 2907, 3420, 1155, 990, 2691, 1080, 2925, 1170, 3159, 1260, 3393, 1350, 3627, 1440, 3861, 1530, 4095, 1620, 4329, 1710, 4563, 1800, 4797, 1890, 5031, 1980, 5265, 2070 (list; graph; listen)
OFFSET

1,1

COMMENT

The condition 'at least two terms' is imposed to avoid the trivial grouping (1),(2),(3),(4),(5),... a(n) == 0 (mod n) by definition.

CROSSREFS

Cf. A088100, A088101.

Sequence in context: A061262 A051656 A074004 this_sequence A110419 A031223 A063598

Adjacent sequences: A088096 A088097 A088098 this_sequence A088100 A088101 A088102

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 24 2003

EXTENSIONS

More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 26 2003

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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