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A151978 Numbers that are congruent to {0, 1} mod 17. 5
0, 1, 17, 18, 34, 35, 51, 52, 68, 69, 85, 86, 102, 103, 119, 120, 136, 137, 153, 154, 170, 171, 187, 188, 204, 205, 221, 222, 238, 239, 255, 256, 272, 273, 289, 290, 306, 307, 323, 324, 340, 341, 357, 358, 374, 375, 391, 392, 408, 409, 425, 426, 442, 443, 459, 460, 476 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that n^2 - n is divisible by 17.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

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

FORMULA

From Bruno Berselli, Sep 29 2011: (Start)

G.f.: x^2*(1+16*x)/((1+x)*(1-x)^2).

a(n) = (34*n - 15*(-1)^n - 49)/4.

a(n) = a(n-1) + a(n-2) - a(n-3) = a(n-2) + 17.

a(n) + a(n+1) = a(2n). (End)

a(n+1) = Sum_{k>=0} A030308(n,k)*b(k) with b(0)=1 and b(k) = 17*2^(k-1) for k > 0. - Philippe Deléham, Oct 19 2011

MATHEMATICA

LinearRecurrence[{1, 1, -1}, {0, 1, 17}, 60] (* or *) With[{c=17Range[0, 30]}, Sort[Join[c, c+1]]] (* Harvey P. Dale, Oct 04 2011 *)

PROG

(MAGMA) [n: n in [0..30] | n mod 17 in [0, 1]]; // Bruno Berselli, Sep 29 2011

CROSSREFS

Sequence in context: A018821 A255923 A226673 * A111054 A242975 A155561

Adjacent sequences:  A151975 A151976 A151977 * A151979 A151980 A151981

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Aug 23 2009

EXTENSIONS

Definition rewritten by Bruno Berselli, Sep 29 2011

STATUS

approved

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Last modified May 27 16:47 EDT 2020. Contains 334664 sequences. (Running on oeis4.)