A359456 Characteristic function of Fibonorial numbers.

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

Offset

1

Comments

Is this constant transcendental? The proof is probably very similar to the proof that Liouville's constant (A012245) is transcendental.

Links

Table of n, a(n) for n=1..87.

Index entries for characteristic functions

Example

.1100010000000000000000000000010000000000000...

Prog

(Python)
f0, f1, fibonorial = 1, 1, 1
for n in range(1, 88):
    if n == fibonorial:
        print("1", end = ", ")
        f0, f1 = f0+f1, f0
        fibonorial *= f0
    else:
        print("0", end = ", ")
(Python)
def A359456(n):
    a, b, c = 1, 2, 1
    while (c:=c*a) < n:
        a, b = b, a+b
    return int(c==n) # Chai Wah Wu, Jan 11 2023

Crossrefs

Characteristic function of A003266.

Cf. A012245.

Sequence in context: A194677 A194667 A094875 * A012245 A256436 A253903

Adjacent sequences: A359453 A359454 A359455 * A359457 A359458 A359459

Keyword

nonn,cons,easy

Author

A.H.M. Smeets, Jan 02 2023

Status

approved