A300555 Numbers i such that Fibonacci(i) is divisible by i+k for k = 0..7.

175472640, 44915270400, 50238568800, 439287521400, 572836904640, 589596638400, 735284012400, 778042465200, 987189789600, 1261551677400, 1297640010240, 1307130728400, 1569978804240, 1979830125000, 2705598768600

Offset: 1

Author

Silvester Resnik, May 19 2018

Keywords

• nonn

Crossrefs

Subsequence of A299155.

Cf. A000045, A023172, A217738, A221018, A225219, A298684, A298685, A298686, A298687.

Programs

PARI

fibomod(n, m) = lift(Mod([0, 1; 1, 1], m)^(n+1))[1, 1];
isok(n) = prod(k=0, 7, fibomod(n, n+k)==0);