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 A081108 8th binomial transform of (1,1,0,0,0,0,.........). 5
 1, 9, 80, 704, 6144, 53248, 458752, 3932160, 33554432, 285212672, 2415919104, 20401094656, 171798691840, 1443109011456, 12094627905536, 101155069755392, 844424930131968, 7036874417766400, 58546795155816448, 486388759756013568 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Main diagonal of array defined by m(0,j)=j; m(i,0)=i and m(i,j)=m(i-1,j)+7*m(i-1,j-1) - Benoit Cloitre, Jun 13 2003 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 Index entries for linear recurrences with constant coefficients, signature (16,-64). FORMULA a(n) = 16*a(n-1) -64*a(n-2), a(0)=1, a(1)=9. a(n) = (n+8)*8^(n-1). G.f.: (1-7*x)/(1-8*x)^2. MATHEMATICA LinearRecurrence[{16, -64}, {1, 9}, 30] (* Harvey P. Dale, Jun 11 2013 *) CoefficientList[Series[(1 - 7 x) / (1 - 8 x)^2, {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *) PROG (MAGMA) [(n+8)*8^(n-1): n in [0..25]]; // Vincenzo Librandi, Aug 06 2013 (PARI) a(n)=(n+8)*8^(n-1) \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Cf. A081107, A081109, A006234. Sequence in context: A342933 A275497 A171314 * A176174 A242632 A018913 Adjacent sequences:  A081105 A081106 A081107 * A081109 A081110 A081111 KEYWORD easy,nonn AUTHOR Paul Barry, Mar 07 2003 STATUS approved

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Last modified January 27 17:36 EST 2022. Contains 350611 sequences. (Running on oeis4.)