login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A199474 Leftmost column in the monotonic justified array of all positive generalized Fibonacci sequences (A160271). 1
1, 2, 3, 2, 4, 3, 5, 4, 3, 6, 5, 4, 7, 6, 5, 4, 8, 7, 6, 5, 9, 8, 7, 6, 5, 10, 9, 8, 7, 6, 11, 10, 9, 8, 7, 6, 12, 11, 10, 9, 8, 7, 13, 12, 11, 10, 9, 8, 7, 14, 13, 12, 11, 10, 9, 8, 15, 14, 13, 12, 11, 10, 9, 8, 16, 15, 14, 13, 12, 11, 10, 9, 17, 16, 15, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Northwest corner of A160271:

  1,   0,   1,   1,   2,   3,   5,   8,  13,  21, ...

  2,   0,   2,   2,   4,   6,  10,  16,  26,  42, ...

  3,   0,   3,   3,   6,   9,  15,  24,  39,  63, ...

  2,   1,   3,   4,   7,  11,  18,  29,  47,  76, ...

  4,   0,   4,   4,   8,  12,  20,  32,  52,  84, ...

  3,   1,   4,   5,   9,  14,  23,  37,  60,  97, ...

  5,   0,   5,   5,  10,  15,  25,  40,  65, 105, ...

  4,   1,   5,   6,  11,  17,  28,  45,  73, 118, ...

  3,   2,   5,   7,  12,  19,  31,  50,  81, 131, ...

  ...

LINKS

Table of n, a(n) for n=1..76.

Clark Kimberling, Orderings of the set of all positive Fibonacci sequences, in G. E. Bergum et al., editors, Applications of Fibonacci Numbers, Vol. 5 (1993), pp. 405-416.

FORMULA

a(n) = (s(n)^2 - n) * [s(n)^2 - s(n) >= n] + (s(n)^2 - n + s(n)) * [s(n)^2 - s(n) < n] where s(n) = ceiling(sqrt(n)).  - Iliya Trub, Mar 17 2019

CROSSREFS

Cf. A160271, A199087, A199088.

Sequence in context: A331253 A264116 A283368 * A246694 A054384 A026400

Adjacent sequences:  A199471 A199472 A199473 * A199475 A199476 A199477

KEYWORD

nonn

AUTHOR

Casey Mongoven, Nov 06 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 28 19:33 EDT 2021. Contains 346335 sequences. (Running on oeis4.)