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A307357
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Row sums of triangle A307116.
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1
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1, 2, 4, 8, 5, 10, 11, 10, 17, 22, 12, 24, 25, 18, 30, 36, 20, 40, 47, 24, 42, 42, 32, 46, 58, 34, 50, 58, 52, 60, 63, 50, 73, 64, 56, 84, 82, 56, 83, 88, 58, 86, 88, 74, 99, 96, 76, 106, 96, 90, 136, 124, 75, 108, 131, 82, 106, 142, 130, 132, 127, 104, 129
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OFFSET
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0,2
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COMMENTS
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The scatterplot of the sequence shows 3 beams of points; this could be related to the regular structure visible on both sides of the triangle A307116.
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LINKS
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FORMULA
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a(n) = Sum_{k = 0..n} A307116(n, k).
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EXAMPLE
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The first terms, alongside the corresponding rows in A307116, are:
- ---- ----------------
0 1 1
1 2 1 1
2 4 1 2 1
3 8 1 3 3 1
4 5 1 1 1 1 1
5 10 1 2 2 2 2 1
6 11 1 3 1 1 1 3 1
7 10 1 1 1 2 2 1 1 1
8 17 1 2 2 3 1 3 2 2 1
9 22 1 3 1 5 1 1 5 1 3 1
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PROG
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(PARI) fibs = Set(vector(100, k, fibonacci(k)))
f(s) = if (setsearch(fibs, s), s, 1)
{ for (r=0, 62, row = vector(r+1, k, if (k==1||k==r+1, 1, f(row[k-1]+row[k]))); print1 (vecsum(row) ", ")) }
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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