Talk:N-bonacci numbers

0-bonacci numbers

So what are 0-bonacci numbers, if there is such a thing? Alonso del Arte 17:20, 5 June 2012 (UTC)

Abiding by the following definition of N-bonacci numbers

The N-bonacci numbers arise from a recurrence relation like that of the Fibonacci numbers but with $\scriptstyle N\,$ initial terms $\scriptstyle (a(n)\,=\,0,\,0\,\leq \,n\,\leq \,N-2;\;a(N-1)\,=\,1)\,$ instead of two initial terms. Each subsequent term is the sum of the previous $\scriptstyle N\,$ terms.

we thus have no initial term, then sum of zero previous terms, giving the empty sum! (talk about degenerate!) This begets the all 0's sequence.

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...}

0-bonacci numbers and 1-bonacci numbers (enanacci numbers) being degenerate N-bonacci numbers! — Daniel Forgues 02:56, 6 June 2012 (UTC)