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Search: id:A097274
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| A097274 |
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Least integer "mod 2 prime signatures" k ordered by number of Pythagorean triples with leg = k. |
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+0
4
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| 1, 2, 3, 4, 6, 8, 9, 18, 16, 27, 54, 12, 15, 30, 32, 81, 162, 64, 243, 486, 128, 729, 1458, 24, 36, 45, 90, 256, 2187, 4374, 512, 6561, 13122, 1024, 19683, 39366, 48, 108, 135, 270, 2048, 59049, 118098, 4096, 177147, 354294, 72, 225, 450, 8192, 531441
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For n=2^a_0*p_1^a_1*...*p_n^a_n where p_i is odd prime and a_1>=a_2>=...>=a_n, define "mod 2 prime signature" to be ordered prime exponents (a_0,a_1,...,a_n).
Least integer with a given mod 2 prime signature is obtained by replacing p_1 with 3, p_2 with 5,..., p_n with n-th odd prime.
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LINKS
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Eric Weisstein's World of Mathematics, Pythagorean Triple.
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EXAMPLE
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Table begins:
0: 1,2,
1: 3,4,6,
2: 8,9,18,
3: 16,27,54,
4: 12,15,30,32,81,162,
5: 64,243,486,
6: 128,729,1458,
7: 24,36,45,90,256,2187,4374,
8: 512,6561,13122,
9: 1024,19683,39366,
10: 48,108,135,270,2048,59049,118098,
11: 4096,177147,354294,
12: 72,225,450,8192,531441,1062882,
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CROSSREFS
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Cf. A097272, A097273, A097275.
Sequence in context: A073667 A160256 A151545 this_sequence A121539 A122138 A047418
Adjacent sequences: A097271 A097272 A097273 this_sequence A097275 A097276 A097277
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KEYWORD
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nonn,tabf
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AUTHOR
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Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 22 2004
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