A053521 a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.

1, 1, 3, 5, 9, 15, 25, 41, 67, 109, 177, 287, 465, 753, 1219, 1973, 3193, 5167, 8361, 6765, 1891, 8657, 5275, 6967, 3061, 5015, 8077, 6547, 7313, 6931, 7123, 1757, 8881, 665, 9547, 5107, 229, 5337, 5567, 5453, 5511, 5483, 2749, 8233, 1373, 9607

Offset

1,3

Comments

Becomes a cyclic sequence whose period is 4793. If A=1, B=1, C=0, p=1, a(1)=a(2)=1 then it is the Fibonacci Sequence.

Links

Table of n, a(n) for n=1..46.

Crossrefs

Cf. A053522, A053523, A028948.

Sequence in context: A080430 A053523 A053522 * A128587 A001595 A092369

Adjacent sequences: A053518 A053519 A053520 * A053522 A053523 A053524

Keyword

nonn

Author

Yasutoshi Kohmoto

Extensions

a(33) corrected by Sean A. Irvine, Dec 27 2021

Status

approved