OFFSET
0,2
LINKS
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72. Erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
Index entries for linear recurrences with constant coefficients, signature (10,-40,80,-80,32)
FORMULA
O.g.f.: (1 - 6*x + 16*x^2 - 18*x^3 + 10*x^4)/(1 - 2*x)^5.
E.g.f.: (2 + 2*x + x^2)^2*exp(2*x)/4.
a(n) = 10*a(n-1) - 40*a(n-2) + 80*a(n-3) - 80*a(n-4) + 32*a(n-5).
a(n) = 2^(n - 6)*(n^4 + 2*n^3 + 19*n^2 + 42*n + 64).
MATHEMATICA
LinearRecurrence[{10, -40, 80, -80, 32}, {1, 4, 16, 62, 230}, 27]
Table[2^(n - 6) (n^4 + 2 n^3 + 19 n^2 + 42 n + 64), {n, 0, 26}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Ilya Gutkovskiy, Aug 27 2016
STATUS
approved