A181630 Duplicate of A112310.

1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5

Offset: 2

Author

Gary W. Adamson, Nov 02 2010

Keywords

• dead

Comments

A181631 = number of leading 1's in Fibonacci Maximal notation.

This notation uses headings: (...5, 3, 2, 1); and fills in entries starting from the right, as opposed to the left. For example n=8 = 1011 = (5 + 2 + 1) as opposed to Minimal notation which would be (1100) = (5 + 3).

Conjectured row sums = A023610: (1, 3, 7, 15, 30, 58, ...).

Is this the same as A112310? - R. J. Mathar, Nov 03 2010

Contribution from Gary W. Adamson, Nov 03 2010: (Start)

The next row of 13 terms = (3, 4, 4, 5, 6, 4, 4, 5, 4, 5, 5, 5, 6), sum = 58. (End)

Examples

			First few terms of the triangle:
  1;
  1, 2;
  2, 2, 3;
  2, 3, 3, 3, 4;
  3, 3, 4, 3, 4, 4, 4, 5;
  ...
Example: 10 in Fibonacci Maximal = 1110, having three 1's, so a(10) = 3.
		

Crossrefs

Cf. A023610, A181631.

Formula

Count numbers of 1's in Fibonacci Maximal notation for n.