A382922 Numbers k such that Fibonacci(k) is a Smith number.

31, 77, 231, 354, 523, 535, 631, 819, 827, 830, 991, 1234

Offset

1,1

Comments

1863, 2277, 2559 are also terms. - Ronie P. Dario, Jul 06 2026

Links

Table of n, a(n) for n=1..12.

Shyam Sunder Gupta, Smith Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157.

Example

31 is a term since Fibonacci(31) = 1346269 = 557 * 2417, and 1346269 is a Smith number (1 + 3 + 4 + 6 + 2 + 6 + 9 = 5 + 5 + 7 + 2 + 4 + 1 + 7).

Crossrefs

Cf. A000045, A006753.

Sequence in context: A317053 A009408 A387391 * A165615 A142408 A246929

Adjacent sequences: A382919 A382920 A382921 * A382923 A382924 A382925

Keyword

nonn,base,hard,more,changed

Author

Shyam Sunder Gupta, Apr 08 2025

Extensions

a(5)-a(12) from Amiram Eldar, Apr 09 2025

Status

approved