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A137713
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Row sums of triangle A137712.
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2
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1, 2, 3, 5, 7, 12, 18, 30, 48, 78, 126, 205, 331, 536, 868, 1404, 2272, 3676, 5948, 9624, 15572, 25195, 40767, 65962, 106729, 172690, 279419, 452109, 731528, 1183637, 1915165, 3098802, 5013967, 8112769, 13126737, 21239506, 34366243, 55605749, 89971992, 145577742, 235549734, 381127476, 616677210
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OFFSET
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1,2
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COMMENTS
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a(n)/a(n-1) tends to phi.
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LINKS
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EXAMPLE
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a(6) = 12 = sum of row 6 terms of triangle A137712: (8 + 2 + 1 + 0 + 0 + 1).
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MAPLE
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for n from 1 to 100 do
T[n, 1]:= combinat:-fibonacci(n);
for k from 2 to n do
if n >= 2*k-1 then T[n, k]:= T[n-1, k-1] - T[n-k, k-1]
else T[n, k]:= T[n-1, k-1]
fi
od:
od:
seq(add(T[n, k], k=1..n), n=1..100); # Robert Israel, Aug 20 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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