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A014677 First differences of A001468. 1
1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

A001468 is an infinite Fibonacci word with strings of 2's of length A001468(n) delimited by 1's. - Paul D. Hanna, Dec 17 2004

c(n):=a(n-1), n >= 1, is -1 if n is a Wythoff B-number from A001950, it is 0 if n=A(B(m)+1) for some m >= 1, with A(k):=A000201(k) (Wythoff A-numbers) and it is +1 if n=A(A(m)+1)=B(m)+1 for some m >= 0, with B(0):=0. Wolfdieter Lang Oct 13 2006

LINKS

Table of n, a(n) for n=0..91.

FORMULA

abs(a(n)) = floor(f*ceiling(n/f)) - ceiling(f*floor(n/f)) where f=phi=(1+sqrt(5))/2; for n > 1, abs(a(n)) = A005713(n-1). - Benoit Cloitre, Apr 21 2003

G.f. equals the continued fraction: A(x) = [0;1, 1/x, 1/x, 1/x^2, 1/x^3, 1/x^5, 1/x^8, ..., 1/x^Fibonacci(n), ...]. - Paul D. Hanna, Dec 17 2004

a(n) = b(n) - b(n-1) with b(n):=A005614(n), n >= 1.

CROSSREFS

Cf. A001468, A000045.

Sequence in context: A325321 A255887 A295316 * A307425 A210826 A307421

Adjacent sequences:  A014674 A014675 A014676 * A014678 A014679 A014680

KEYWORD

sign,changed

AUTHOR

N. J. A. Sloane, Nov 07 2001

STATUS

approved

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Last modified June 17 19:10 EDT 2019. Contains 324198 sequences. (Running on oeis4.)