Tiberiu Szocs-Mihai - cp's OEIS frontend

User: Tiberiu Szocs-Mihai

Tiberiu Szocs-Mihai has authored 1 sequences.

A261133 a(n) = Max{k from {1..n} | T(n,k) = A049831(n)}, where T(n,k) is the triangle defined at A049828.

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Tiberiu Szocs-Mihai, Aug 10 2015

For the n-th row of the triangle T(n,k) defined in A049828, a(n) is the largest index where the maximum of that row, namely A049831(n), is obtained.

Conjecture: a(n)/n -> (sqrt(5)-1)/2, see Szocs-Mihai link.

Tiberiu Szocs-Mihai, Convergence of euclidean summation function, Math Ticks Blog, January 2011.

Cf. A049828, A049831.

t(n, k) = {x = n; y = k; r = 1; s = 0; while (r, q = x\y; r = x - y*q; s +=r; x = y; y = r;); s;}
row(n) = vector(n, k, t(n, k));
a(n) = v = row(n); vm = vecmax(v); forstep(k=n, 1, -1, if (v[k] == vm, return(k))); \\ Michel Marcus, Aug 31 2015

cp's OEIS Frontend

User: Tiberiu Szocs-Mihai

A261133 a(n) = Max{k from {1..n} | T(n,k) = A049831(n)}, where T(n,k) is the triangle defined at A049828.

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