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Enanacci numbers
From OeisWiki
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 numbers arise 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)