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A181631 Triangle by rows, number of leading 1's in Fibonacci Maximal notation. 3
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 (list; table; graph; refs; listen; history; text; internal format)
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.

FORMULA

Number of leading 1's in Fibonacci Maximal notation, for n.

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: A145782 A131794 A145726 * A133674 A215026 A162319

Adjacent sequences:  A181628 A181629 A181630 * A181632 A181633 A181634

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Nov 02 2010

STATUS

approved

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Last modified June 20 00:15 EDT 2013. Contains 226416 sequences.