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

Author

N. J. A. Sloane, Aug 23 2009

Keywords

• nonn
• easy

Comments

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

Links

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

Programs

Mathematica

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

PARI

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

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)