Template:Tiara pair NonRuby/wave

integer weight
w a 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 sums 0 1 0 1 1 1 0 0 1 2 1 0 2 0 0 3 3 1 0 16 0 64 0 16 0 0 97 4 1 0 88 0 1796 0 7784 0 12862 0 7784 0 1796 0 88 0 0 32199

rational weight

w a $0$ ${\frac {1}{16}}$ ${\frac {1}{8}}$ ${\frac {3}{16}}$ ${\frac {1}{4}}$ ${\frac {5}{16}}$ ${\frac {3}{8}}$ ${\frac {7}{16}}$ ${\frac {1}{2}}$ ${\frac {9}{16}}$ ${\frac {5}{8}}$ ${\frac {11}{16}}$ ${\frac {3}{4}}$ ${\frac {13}{16}}$ ${\frac {7}{8}}$ ${\frac {15}{16}}$ $1$ sums 0 1 0 1 1 1 0 0 1 2 1 0 2 0 0 3 3 1 0 16 0 64 0 16 0 0 97 4 1 0 88 0 1796 0 7784 0 12862 0 7784 0 1796 0 88 0 0 32199

unit fractions
w a $1$ ${\frac {1}{2}}$ ${\frac {1}{4}}$ ${\frac {1}{8}}$ ${\frac {1}{16}}$ sums 0 0 0 1 0 0 0 2 0 2 0 2 3 0 64 16 0 80 4 0 12862 1796 88 0 14746

plain text

rows: [ 1, 0], [1, 0, 0], [1, 0, 2, 0, 0], [1, 0, 16, 0, 64, 0, 16, 0, 0], [1, 0, 88, 0, 1796, 0, 7784, 0, 12862, 0, 7784, 0, 1796, 0, 88, 0, 0 ] central values:   (rational weight = 1/2) [0, 2, 64, 12862] diagonal:   (integer weight = arity) [ 1, 0, 2, 0, 1796] row sums: [1, 1, 3, 97, 32199] unit fractions: [0], [0, 0], [0, 2, 0], [0, 64, 16, 0], [0 , 12862, 1796, 88, 0] row sums of unit fractions: [0, 0, 2, 80, 14746]

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Tiara number triangles § oddacity and gender

	0	1	2	3	4
female	1	1	3	97	32199
evenacious female	1	1	1	57	30537
oddacious female	0	0	2	40	1662
oddacious male	1	3	13	159	33337
oddacious	1	3	15	199	34999
all	2	4	16	256	65536