A339598 Numbers k such that k | Sum_{i=1..k} A000045(i) and k+1 | Sum_{i=1..k+1} A000045(i).

1, 6479, 11663, 51983, 196559

Offset

1,2

Comments

a(1)-a(5) are given on p. 11 in Yaqubi, Fatehizadeh, 2020. According to the authors there are no other terms up to 10^6.

Apparently an erroneous version of A331977.

Included in accordance with OEIS policy of including published but erroneous sequences to serve as pointers to the correct values.

Links

Table of n, a(n) for n=1..5.

D. Yaqubi and A. Fatehizadeh, Some results on average of Fibonacci and Lucas sequences, arXiv:2001.11839 [math.CO], 2020.

Prog

(PARI) is(n) = my(s=sum(i=1, n, fibonacci(i))); lift(Mod(s, n))==0 && lift(Mod(s+fibonacci(n+1), n+1))==0

Crossrefs

Cf. A000045, A111035.

Sequence in context: A213117 A232410 A331977 * A175756 A190012 A362878

Adjacent sequences: A339595 A339596 A339597 * A339599 A339600 A339601

Keyword

nonn,hard,more

Author

Felix Fröhlich, Dec 09 2020

Status

approved