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A167533 a(n) = 71*n - a(n-1) for n>0, a(0)=12. 5
12, 59, 83, 130, 154, 201, 225, 272, 296, 343, 367, 414, 438, 485, 509, 556, 580, 627, 651, 698, 722, 769, 793, 840, 864, 911, 935, 982, 1006, 1053, 1077, 1124, 1148, 1195, 1219, 1266, 1290, 1337, 1361, 1408, 1432, 1479, 1503, 1550, 1574, 1621, 1645 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: (12 + 47*x + 12*x^2)/((1 + x)*(1 - x)^2). - Vincenzo Librandi, Jun 06 2014
Sum_{n>=0} (-1)^n/a(n) = cot(12*Pi/71)*Pi/71. - Amiram Eldar, Feb 24 2023
MATHEMATICA
CoefficientList[Series[(12 + 47 x + 12 x^2)/((1 + x) (1 - x)^2), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 06 2014 *)
LinearRecurrence[{1, 1, -1}, {12, 59, 83}, 50] (* Harvey P. Dale, Dec 09 2015 *)
PROG
(Magma) [(71/4)-(23/4)*(-1)^n+(71/2)*n: n in [0..50]]; // Vincenzo Librandi, Jun 06 2014
CROSSREFS
Sequence in context: A272233 A283164 A242983 * A244907 A062477 A048362
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 06 2009
EXTENSIONS
Edited by N. J. A. Sloane, Jun 23 2010
STATUS
approved

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Last modified July 19 22:34 EDT 2024. Contains 374441 sequences. (Running on oeis4.)