A265333 Characteristic function for A265334: a(n) = 1 if n >= k! but < 2*k! for some k, 0 otherwise.

0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0

Comments

a(n) = 1 if the initial digit in factorial base representation (A007623) of n is 1, 0 otherwise.

a(n) = 1 if A099563(n) = 1, 0 otherwise.

Links

Antti Karttunen, Table of n, a(n) for n = 0..10080

Index entries for sequences related to factorial base representation

Prog

(Scheme)
(define (A265333 n) (if (zero? n) n (let loop ((f 1) (i 2)) (let ((nextf (* i f))) (if (> nextf n) (if (< n (* 2 f)) 1 0) (loop nextf (+ 1 i)))))))

Crossrefs

Cf. A007623, A265334.

Cf. also A099563.

Sequence in context: A284935 A118249 A174206 * A159637 A095076 A285080

Adjacent sequences: A265330 A265331 A265332 * A265334 A265335 A265336

Keyword

nonn

Author

Antti Karttunen, Dec 25 2015

Status

approved