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A367293 Main diagonal of the extended Wythoff array (A287870). 0

%I #24 Dec 22 2023 16:36:18

%S 0,3,6,15,32,60,118,212,398,733,1275,2296,4092,6998,12310,20905,36409,

%T 63092,106266,182888,306865,525175,896119,1496319,2542488,4310250,

%U 7170549,12116421,20119010,33899511,57028870,94452959,158530985,265735987,439197324,734794015,1213079508,2026049861

%N Main diagonal of the extended Wythoff array (A287870).

%F a(n) = A287870(n+1, n+1).

%F a(n) = n*Fibonacci(n-1) + Fibonacci(n)*floor(((1 + sqrt(5))*(1 + n))/2), for n > 0.

%F a(n) = A099920(n-1) + A000045(n)*A000201(n+1) for n > 0.

%F a(n) = A035513(n+1, n-1) for n >= 2.

%o (PARI) a(n) = (1 + n + sqrtint(5*(n+1)^2))\2*fibonacci(n) + n*fibonacci(n-1)

%Y Cf. A000045, A000201, A001468, A020941, A099920, A287870.

%K nonn

%O 0,2

%A _Thomas Scheuerle_, Nov 12 2023

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Last modified May 8 10:51 EDT 2024. Contains 372332 sequences. (Running on oeis4.)