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Search: id:A157023
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| A157023 |
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S(n) - the sum of the areas of the polygons constructed from connecting with a straight line all identical members in the multiplicative table modulo n (finite field). |
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+0
1
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| 0, 0, 2, 14, 28, 70, 108, 205, 334, 484, 616, 892, 1138, 1511, 1882, 2418, 2908, 3556, 3962, 4937, 5876, 6926, 7180, 9377, 10478, 12019, 13556, 15244, 16494, 19248, 20614, 23785, 26056, 28865, 30828, 34648, 37142, 41095, 43872, 48530, 50596
(list; graph; listen)
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OFFSET
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2,3
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COMMENT
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1/S(4) + 1/S(5) + ... + 1/S(inf) ~ e^(1/2) - 1
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LINKS
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Ofer Barasofsky, On the geometry of natrual numbers
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FORMULA
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S(n) = S(0,n) + S(1,n) + ... + S(n-1,n) where S(i,n) is the area of the polygon constructed from connecting with a straight line all the members with value i
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EXAMPLE
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Example: n=4 1 2 3 2 0 2 3 2 1 S(0,4) = 0 S(1,4) = 0 S(2,4) = 2 S(3,4) = 0 S(4) = 0 + 0 + 2 + 0 = 2
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CROSSREFS
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Sequence in context: A072390 A117705 A031079 this_sequence A101554 A057018 A038341
Adjacent sequences: A157020 A157021 A157022 this_sequence A157024 A157025 A157026
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KEYWORD
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nonn
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AUTHOR
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Ofer Barasofsky (oferbarasofsky(AT)gmail.com), Feb 21 2009
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