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2 Dimensional – 3 Dimensional (Posted on 2007-04-09) Difficulty: 3 of 5
What are the next few numbers in the sequence? 1, 6, 18, 40, 75, 126, ...?

See The Solution Submitted by Syzygy    
Rating: 3.0000 (1 votes)

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Some Thoughts re: Solution (spoiler) Comment 3 of 3 |
(In reply to Solution by K Sengupta)

The solution, the Pentagonal Pyramidal numbers ( n^2*(n+1)/2 ) sequence, can be found in The On-Line Encyclopedia of Integer Sequences, id: A000241...

0, 1, 6, 18, 40, 75, 126, 196, 288, 405, 550, 726, 936, 1183, 1470, 1800, 2176, 2601, 3078, 3610, 4200, 4851, 5566, 6348, 7200, 8125, 9126, 10206, 11368, 12615, 13950, 15376, 16896, 18513, 20230, 22050, 23976, 26011, 28158, 30420, 32800, 35301...


  Posted by Dej Mar on 2007-04-09 17:14:53
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