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A198695
11*4^n-1
1
10, 43, 175, 703, 2815, 11263, 45055, 180223, 720895, 2883583, 11534335, 46137343, 184549375, 738197503, 2952790015, 11811160063, 47244640255, 188978561023, 755914244095, 3023656976383, 12094627905535, 48378511622143
OFFSET
0,1
FORMULA
a(n) = 4*a(n-1)+3. a(n) = 5*a(n-1)-4*a(n-2), n>1.
G.f. ( 10-7*x ) / ( (4*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011
MATHEMATICA
11*4^Range[0, 30]-1 (* or *) NestList[4#+3&, 10, 30] (* or *) LinearRecurrence[ {5, -4}, {10, 43}, 30] (* Harvey P. Dale, Aug 07 2021 *)
PROG
(Magma) [11*4^n-1: n in [0..30]]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 29 2011
STATUS
approved