OFFSET
0,2
COMMENTS
Row sums of triangle A131950.
LINKS
Index entries for linear recurrences with constant coefficients, signature (5,-9,7,-2).
FORMULA
Binomial transform of (1, 5, 3, 1, 1, 1, ...).
G.f.: ( 1+x-7*x^2+3*x^3 ) / ( (2*x-1)*(x-1)^3 ). - R. J. Mathar, Apr 04 2012
E.g.f.: exp(x)*(exp(x) + x*(4 + x)). - Stefano Spezia, Mar 03 2025
EXAMPLE
a(3) = 26 = sum of row 3 terms, triangle A131950: (7 + 6 + 6 + 7).
a(3) = 26 = (1, 3, 3, 1) dot (1, 5, 3, 1) = (1 + 15 + 9 + 1).
MATHEMATICA
LinearRecurrence[{5, -9, 7, -2}, {1, 6, 14, 26}, 34] (* James C. McMahon, Mar 02 2025 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Gary W. Adamson, Jul 30 2007
EXTENSIONS
New definition by R. J. Mathar, Apr 04 2012
a(28)-a(34) from James C. McMahon, Mar 02 2025
STATUS
approved