A159007 Numbers k such that k == 32 or 41 (mod 73).

32, 41, 105, 114, 178, 187, 251, 260, 324, 333, 397, 406, 470, 479, 543, 552, 616, 625, 689, 698, 762, 771, 835, 844, 908, 917, 981, 990, 1054, 1063, 1127, 1136, 1200, 1209, 1273, 1282, 1346, 1355, 1419, 1428, 1492, 1501, 1565, 1574, 1638, 1647, 1711, 1720

Offset

1,1

Comments

Also, numbers k such that k^2 == 2 (mod 73).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Formula

a(n) = a(n-1) + a(n-2) - a(n-3) with a(1)=32, a(2)=41, a(3)=105.

a(n) = (73 + 55*(-1)^(n-1) + 146*(n-1))/4.

G.f.: x*(32 + 9*x + 32*x^2)/((1+x)*(x-1)^2). - R. J. Mathar, Jul 18 2009

Mathematica

LinearRecurrence[{1, 1, -1}, {32, 41, 105}, 60] (* Harvey P. Dale, Aug 09 2016 *)

Prog

(Magma) I:=[32, 41, 105]; [n le 3 select I[n] else Self(n-1)+Self(n-2)-Self(n-3): n in [1..60]]; // Vincenzo Librandi, Mar 02 2012
(PARI) for(n=1, 50, print1((73+55*(-1)^(n-1)+146*(n-1))/4", ")); \\ Vincenzo Librandi, Mar 02 2012

Crossrefs

Sequence in context: A363530 A240246 A167309 * A114042 A302168 A104390

Adjacent sequences: A159004 A159005 A159006 * A159008 A159009 A159010

Keyword

nonn,easy

Author

Vincenzo Librandi, Jun 30 2009

Extensions

Sign of k in the definition clarified by R. J. Mathar, Jul 18 2009

New name from Charles R Greathouse IV, Jan 11 2012

Status

approved