A269733 First differences of A269729.

1, 1, 1, 1, 3, 3, -5, 3, 3, -5, 3, 3, 8, 8, -13, 8, 8, -13, 8, -13, 8, 8, -13, 8, 8, -13, 8, -13, 8, 8, -13, 8, 8, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21

Offset

0,5

Comments

John Conway remarks that he can explain why the terms of this sequence are (up to sign) Fibonacci numbers.

References

J. H. Conway, Postings to Math Fun Mailing List, Nov 25 1996 and Dec 02 1996.

Links

Table of n, a(n) for n=0..79.

Jean-François Alcover, Plot of differences

J. H. Conway, Allan Wechsler, Marc LeBrun, Dan Hoey, N. J. A. Sloane, On Kimberling Sums and Para-Fibonacci Sequences, Correspondence and Postings to Math-Fun Mailing List, Nov 1996 to Jan 1997

Maple

[seq(A269729(n), n=0..120)] ;
DIFF(%) ; # R. J. Mathar, May 08 2019

Crossrefs

Cf. A269729.

Sequence in context: A190911 A204903 A054906 * A138479 A202106 A136019

Adjacent sequences: A269730 A269731 A269732 * A269734 A269735 A269736

Keyword

sign,easy

Author

N. J. A. Sloane, Mar 08 2016

Extensions

More terms from R. J. Mathar, May 08 2019

Status

approved