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# Enanacci numbers

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(Redirected from 1-bonacci numbers)

The **enanacci numbers** (the prefix ένα being 'one' in Greek) (**1-bonacci numbers**) are degenerate *N-bonacci numbers*. (Cf. Category:Recurrence, linear, order 01, (1)).

Abiding by the following definition of *N-bonacci numbers*

The

N-bonacci numbersarise from a recurrence relation like that of the Fibonacci numbers, but with initial terms defined as

instead of two initial terms, and where each subsequent term is the sum of the previous terms

With , we thus have This begets the all 1's sequence.

A000012 The simplest sequence of positive numbers: the all 1's sequence.

- {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...}

## See also

- Medenacci numbers (0-bonacci numbers)