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A199535
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Clark Kimberling's even first column Stolarsky array read by antidiagonals.
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2
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1, 2, 4, 3, 7, 6, 5, 11, 9, 10, 8, 18, 15, 17, 12, 13, 29, 24, 27, 19, 14, 21, 47, 39, 44, 31, 23, 16, 34, 76, 63, 71, 50, 37, 25, 20, 55, 123, 102, 115, 81, 60, 41, 33, 22, 89, 199, 165, 186, 131, 97, 66, 53, 35, 26, 144, 322, 267, 301, 212, 157, 107, 86, 57, 43, 28
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history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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The rows of the array can be seen to have the form A(n, k) = p(n)*Fibonacci(k) + q(n)*Fibonacci(k+1) where p(n) is the sequence {0, 1, 3, 3, 3, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, ...}_{n >= 1} and q(n) is the sequence {1, 3, 3, 7, 2, 9, 9, 13, 13, 17, 17, 19, 19, 23, 23, 25, ...}_{n >= 1}. - G. C. Greubel, Jun 23 2022
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LINKS
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FORMULA
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T(n, n-1) = A199537(n-1), n >= 2. (End)
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EXAMPLE
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The even first column stolarsky array (EFC array), northwest corner:
1......2.....3.....5.....8....13....21....34....55....89...144 ... A000045;
4......7....11....18....29....47....76...123...199...322...521 ... A000032;
6......9....15....24....39....63...102...165...267...432...699 ... A022086;
10....17....27....44....71...115...186...301...487...788..1275 ... A022120;
12....19....31....50....81...131...212...343...555...898..1453 ... A013655;
14....23....37....60....97...157...254...411...665..1076..1741 ... A000285;
16....25....41....66...107...173...280...453...733..1186..1919 ... A022113;
20....33....53....86...139...225...364...589...953..1542..2495 ... A022096;
22....35....57....92...149...241...390...631..1021..1652..2673 ... A022130;
Antidiagonal rows (T(n, k)):
1;
2, 4;
3, 7, 6;
5, 11, 9, 10;
8, 18, 15, 17, 12;
13, 29, 24, 27, 19, 14;
21, 47, 39, 44, 31, 23, 16;
34, 76, 63, 71, 50, 37, 25, 20;
55, 123, 102, 115, 81, 60, 41, 33, 22;
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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