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A048469
a(n) = T(8,n), array T given by A047858.
1
1, 10, 29, 69, 153, 329, 697, 1465, 3065, 6393, 13305, 27641, 57337, 118777, 245753, 507897, 1048569, 2162681, 4456441, 9175033, 18874361, 38797305, 79691769, 163577849, 335544313, 687865849, 1409286137, 2885681145, 5905580025, 12079595513, 24696061945
OFFSET
0,2
COMMENTS
n-th difference of a(n), a(n-1), ..., a(0) is (9, 10, 11, ...).
FORMULA
Main diagonal of the array defined by T(0, j) = j+1 for j>=0, T(i, 0) = i+1 for i>=0, T(i, j) = T(i-1, j-1) + T(i-1, j) + 7. - Benoit Cloitre, Jun 17 2003
a(n) = 2^(n-1)*(n+16)-7. a(0)=1, a(1)=10, a(2)=29, a(n) = 5*a(n-1)-8*a(n-2)+4*a(n-3). - Vincenzo Librandi, Sep 28 2011
G.f.: (1+5*x-13*x^2) / ((1-x)*(1-2*x)^2). - Colin Barker, Feb 18 2016
MATHEMATICA
LinearRecurrence[{5, -8, 4}, {1, 10, 29}, 40] (* Harvey P. Dale, Aug 15 2020 *)
PROG
(Magma) [2^(n-1)*(n+16)-7: n in [0..30]]; // Vincenzo Librandi, Sep 28 2011
CROSSREFS
Sequence in context: A068197 A079273 A271991 * A367343 A031129 A048772
KEYWORD
nonn,easy
STATUS
approved