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A165151 a(n) = (3*11^n - 7^n)/2. 3
1, 13, 157, 1825, 20761, 233173, 2598517, 28818985, 318655921, 3516744733, 38764899277, 426978842545, 4700721921481, 51735623710693, 569285638838437, 6263498473368505, 68907978330073441, 758054227491947053, 8339061763439391997, 91732936225029132865, 1009085096265691207801 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Binomial transform of A165150. Inverse binomial transform of A165152.
LINKS
FORMULA
a(n) = 18*a(n-1) - 77*a(n-2) for n > 1; a(0) = 1, a(1) = 13.
G.f.: (1 - 5*x)/((1 - 7*x)*(1 - 11*x)).
E.g.f.: exp(7*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023
MATHEMATICA
Table[(3 11^n-7^n)/2, {n, 0, 20}] (* or *) LinearRecurrence[{18, -77}, {1, 13}, 20] (* Harvey P. Dale, Jan 28 2012 *)
PROG
(Magma) [ (3*11^n-7^n)/2: n in [0..17] ];
CROSSREFS
Sequence in context: A244206 A159499 A125470 * A016125 A353147 A175519
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Sep 15 2009
STATUS
approved

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Last modified February 25 07:35 EST 2024. Contains 370310 sequences. (Running on oeis4.)