A383021 Self-summable Fibonacci numbers: integers k such that Fibonacci(k) divides the sum of the first Fibonacci(k) nonzero Fibonacci numbers.
1, 2, 3, 12, 24, 34, 36, 46, 48, 60, 68, 72, 92, 94, 96, 106, 108, 120, 144, 166, 168, 180, 188, 192, 212, 214, 216, 226, 240, 274, 288, 300, 324, 332, 334, 336, 346, 360, 384, 394, 428, 432, 452, 454, 466, 480, 504, 514, 526, 540, 548, 552, 576, 586, 600, 612
Offset: 1
Keywords
Links
- Amirali Fatehizadeh and Daniel Yaqubi, Average of the Fibonacci numbers, J. Integer Seq. 25 (2022), no. 2, Art. 22.2.6, 10 pp.
- Oisín Flynn-Connolly, On the divisibility of sums of Fibonacci numbers, arXiv:2504.09938 [math.NT], 2025.
- Michal Křížek and Lawrence Somer, Period lengths modulo n and average of terms of second order linear recurrences, Integers 24 (2024), Paper No. A36, 41 pp.
Extensions
More terms from Alois P. Heinz, Apr 14 2025
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