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Geo Pyramid (Posted on 2008-12-16) Difficulty: 3 of 5
A figurate number stack is built using only the digits 0 through 9 exactly once.

Each tier is a figurate number of the order labelled; no number has a leading zero.


How many solutions can you offer?

  Submitted by brianjn    
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Solution: (Hide)
Manually working a spreadsheet is no match for a well-written program listing; I managed to miss some as well as duplicating a digit in one of my sets.

The following is a direct copy of what Charlie has offered in comments (less his program list).

1 78 324 9560
2 45 361 9087
2 91 784 6305
3 15 784 6902
3 21 784 9560
4 10 529 3876
4 28 169 5370
4 28 196 5370
4 28 961 5370
4 36 289 5017
4 78 169 2035
4 78 196 2035
4 78 961 2035
4 91 576 2380
6 15 324 9087
6 15 784 3290
6 91 784 2035
7 36 289 4510
7 45 169 2380
7 45 196 2380
7 45 961 2380
8 36 729 4510
9 21 784 6305
9 36 784 1520
9 36 784 2501
9 78 324 6501

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle Thoughts K Sengupta2023-07-05 23:59:39
re(2): a solutionCharlie2008-12-18 11:22:06
re: a solutionbrianjn2008-12-17 20:24:57
Solutiona solutionDej Mar2008-12-17 11:38:49
Solutioncomputer solutionCharlie2008-12-16 17:53:55
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