Update for 03-03-22 23:30
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@ -18,4 +18,11 @@ can be calculated via
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* The sum of the square of the elements of row `n` is equal to the middle
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element of row `2n`
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* For some row `n` where `n` is prime, all terms in that row except for the 1s
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are multiples of `p`
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are multiples of `n`
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* To count odd terms in a row `n`, convert `n` to binary. Let `x` be the number
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of 1s in the binary value (popcnt) Then the number of odd terms will be `2^x`
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These values are known as [[goulds_sequence]]
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* Every entry in row `2^(n-1) for n>=0` is odd.
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* Diagonals along left and right edges contain only 1s
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* Diagonals next to the edge of the diagonals count upward
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* Next diagonal inward contains the [[triagnular_numbers]]
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12
tech/triagnular_numbers.wiki
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12
tech/triagnular_numbers.wiki
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@ -0,0 +1,12 @@
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= Triangular Numbers =
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Triangular numbers are the number of objects arranged in an equilateral
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triangle.
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The first few are
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{{{
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0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171,
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190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595,
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630, 666...
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}}}
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