A181631 Triangle by rows, number of leading 1's in Fibonacci Maximal notation.

1, 1, 2, 1, 2, 3, 1, 1, 2, 3, 4, 1, 1, 1, 2, 2, 3, 4, 5, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6

Offset

1,3

Comments

Row sums = A001911: (1, 3, 6, 11, 19, 32,...).

A181630 = number of 1's in Fibonacci Maximal notation (which has headings of (...8, 5, 3, 2, 1) filling entries from the right to left; as opposed to Fibonacci Minimal which starts from the left. For example, 8 in Maximal = 1011 = (5 + 2 + 1) whereas Maximal = (1100) = (5 + 3).

Rows have (1, 2, 3, 5, 8,...) terms.

Links

Table of n, a(n) for n=1..32.

Example

First few rows of the triangle =
  1;
  1, 2;
  1, 2, 3;
  1, 1, 2, 3, 4;
  1, 1, 1, 2, 2, 3, 4, 5;
  1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6;
  ...
Example: a(14) 1 since 14 in Fibonacci Maximal = 10111.

Crossrefs

Cf. A001911, A181630.

Sequence in context: A322984 A277822 A327616 * A348390 A133674 A348245

Adjacent sequences: A181628 A181629 A181630 * A181632 A181633 A181634

Keyword

nonn,tabf,more

Author

Gary W. Adamson, Nov 02 2010

Status

approved