cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A367293 #24 Dec 22 2023 16:36:18
%S A367293 0,3,6,15,32,60,118,212,398,733,1275,2296,4092,6998,12310,20905,36409,
%T A367293 63092,106266,182888,306865,525175,896119,1496319,2542488,4310250,
%U A367293 7170549,12116421,20119010,33899511,57028870,94452959,158530985,265735987,439197324,734794015,1213079508,2026049861
%N A367293 Main diagonal of the extended Wythoff array (A287870).
%F A367293 a(n) = A287870(n+1, n+1).
%F A367293 a(n) = n*Fibonacci(n-1) + Fibonacci(n)*floor(((1 + sqrt(5))*(1 + n))/2), for n > 0.
%F A367293 a(n) = A099920(n-1) + A000045(n)*A000201(n+1) for n > 0.
%F A367293 a(n) = A035513(n+1, n-1) for n >= 2.
%o A367293 (PARI) a(n)  = (1 + n + sqrtint(5*(n+1)^2))\2*fibonacci(n) + n*fibonacci(n-1)
%Y A367293 Cf. A000045, A000201, A001468, A020941, A099920, A287870.
%K A367293 nonn
%O A367293 0,2
%A A367293 _Thomas Scheuerle_, Nov 12 2023