A151984 Numbers that are congruent to {0, 1} mod 64.

0, 1, 64, 65, 128, 129, 192, 193, 256, 257, 320, 321, 384, 385, 448, 449, 512, 513, 576, 577, 640, 641, 704, 705, 768, 769, 832, 833, 896, 897, 960, 961, 1024, 1025, 1088, 1089, 1152, 1153, 1216, 1217, 1280, 1281, 1344, 1345, 1408, 1409, 1472, 1473, 1536, 1537

Offset

1,3

Comments

Numbers k such that k^2 - k is divisible by 64.

Links

Table of n, a(n) for n=1..50.

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

Formula

a(n+1) = Sum_{k>=0} A030308(n,k)*b(k) with b(0)=1, b(k)=2^(n+5) for k > 0. - Philippe Deléham, Oct 17 2011

From Colin Barker, Nov 29 2012: (Start)

a(n) = (-95 - 31*(-1)^n + 64*n)/2.

a(n) = a(n-1) + a(n-2) - a(n-3).

G.f.: x^2*(63*x+1)/((x-1)^2*(x+1)). (End)

Mathematica

Flatten[{#, #+1}&/@(64 Range[30])]  (* Harvey P. Dale, Feb 01 2011 *)

Prog

(PARI) forstep(n=0, 400, [1, 63], print1(n", ")) \\ Charles R Greathouse IV, Oct 17 2011

Crossrefs

Sequence in context: A291965 A255570 A255571 * A194769 A217846 A135124

Adjacent sequences: A151981 A151982 A151983 * A151985 A151986 A151987

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 23 2009

Status

approved