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 A005057 5^n - 2^n. 13
 0, 3, 21, 117, 609, 3093, 15561, 77997, 390369, 1952613, 9764601, 48826077, 244136529, 1220694933, 6103499241, 30517545357, 152587825089, 762939322053, 3814697003481, 19073485803837, 95367430592049, 476837156105973, 2384185786821321, 11920928946689517 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A024036. - Wesley Ivan Hurt, Apr 04 2014 REFERENCES P. P. Patwardhan, Discrete Structures, Technical Publications Pune, 2009 (first ed.), Section 4.27.1.2, p. 110 (Example 4.44-i). LINKS Ivan Panchenko, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (7,-10). FORMULA a(n) = A000351(n) - A000079(n). - R. J. Mathar, May 07 2008 G.f.: 1/(1-5*x)-1/(1-2*x); E.g.f.: e^(5*x)-e^(2*x). - Mohammad K. Azarian, Jan 14 2009 a(n) = 7*a(n-1)-10*a(n-2), a(0)=0, a(1)=3. - Vincenzo Librandi, Dec 30 2010 a(n+1) = 3 * A016127(n). - Vladimir Joseph Stephan Orlovsky, Jun 28 2011 MAPLE A005057:=n->5^n - 2^n; seq(A005057(n), n=0..50); # Wesley Ivan Hurt, Apr 04 2014 MATHEMATICA Table[5^n - 2^n, {n, 0, 60}] (* Vladimir Joseph Stephan Orlovsky, Jun 27 2011 *) PROG (Sage) [5^n - 2^n for n in range(0, 21)] # Zerinvary Lajos, Jun 04 2009 (MAGMA) [ 5^n-2^n: n in [0..24] ]; (PARI) a(n)=5^n-1<

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Last modified September 28 13:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)