STATUS
proposed
approved
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Revision History for A127985
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
STATUS
editing
proposed
LINKS
<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -3, -4, 4).
FORMULA
E.g.f.: ((4 + 6*x)*cosh(2*x) - 5*sinh(x) + 4*cosh(x)*((2 + 3*x)*sinh(x) - 1))/9. - Stefano Spezia, May 25 2023
KEYWORD
nonn,easy
STATUS
approved
editing
PROG
(MAGMAMagma) [(n/3 + 4/9)*2^n - 1/2 + (-1)^n/18: n in [1..40]]; // Vincenzo Librandi, May 26 2011
LINKS
Vincenzo Librandi, <a href="/A127985/b127985_1.txt">Table of n, a(n) for n = 0..1000</a> (corrected by Ray Chandler, Jan 19 2019)
STATUS
editing
approved
LINKS
Vincenzo Librandi, <a href="/A127985/b127985_1.txt">Table of n, a(n) for n = 10..1000</a> (corrected by Ray Chandler, Jan 19 2019)
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
FORMULA
a(1)=1, a(2)=4, a(3)=11, a(4)=28, a(n) = 4*a(n-1)-3*a(n-2)-4*a(n-3)+4*a(n-4). - Harvey P. Dale, May 15 2011
MATHEMATICA
Table[(n/3 + 4/9) 2^n - 1/2 + (-1)^n/18, {n, 1, 50}] (* Artur Jasinski *)
STATUS
proposed
editing