A004972 a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.

0, 3572, 7143, 10714, 14285, 17856, 21427, 24998, 28569, 32140, 35711, 39282, 42853, 46424, 49995, 53566, 57137, 60708, 64279, 67850, 71421, 74992, 78563, 82134, 85705, 89276, 92847, 96418, 99989, 103560, 107131, 110702, 114273, 117844, 121415, 124986

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

From Colin Barker, Dec 22 2014: (Start)

a(n) = 3571*n + 1 for n > 0.

a(n) = 2*a(n-1) - a(n-2) for n > 2.

G.f.: -x*(x-3572) / (x-1)^2.

(End)

Prog

(PARI) concat(0, Vec(-x*(x-3572)/(x-1)^2 + O(x^100))) \\ Colin Barker, Dec 22 2014

Crossrefs

Sequence in context: A152217 A004932 A004952 * A246855 A252153 A234138

Adjacent sequences: A004969 A004970 A004971 * A004973 A004974 A004975

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 22 2014

Status

approved