OFFSET
1,2
COMMENTS
See the first comment of A257448.
LINKS
Index entries for linear recurrences with constant coefficients, signature (6,-14,16,-9,2).
FORMULA
G.f.: -x*(1 + x)*(1 + 10*x + x^2)/((-1 + x)^4*(-1 + 2*x)).
a(n) = 6*a(n-1) -14*a(n-2) +16*a(n-3) -9*a(n-4) +2*a(n-5) for n>5.
EXAMPLE
This sequence provides the antidiagonal sums of the array:
1, 16, 81, 256, 625, 1296, ... A000583
1, 17, 98, 354, 979, 2275, ... A000538
1, 18, 116, 470, 1449, 3724, ... A101089
1, 19, 135, 605, 2054, 5778, ... A101090
1, 20, 155, 760, 2814, 8592, ... A101091
1, 21, 176, 936, 3750, 12342, ... A254681
...
See also A254681 (Example field).
MATHEMATICA
Table[75 (2^n - 1) - 4 n^3 - 18 n^2 - 52 n, {n, 30}]
PROG
(Magma) [75*(2^n-1)-4*n^3-18*n^2-52*n: n in [1..30]]; // Vincenzo Librandi, Apr 24 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Apr 23 2015
STATUS
approved