OFFSET
0,1
LINKS
Takao Komatsu, On poly-Euler numbers of the second kind, arXiv:1806.05515 [math.NT], 2018, page 11 (Lemma 3.4).
Index entries for linear recurrences with constant coefficients, signature (21,-175,735,-1624,1764,-720).
FORMULA
G.f.: 2*(61 + 3702*x + 11099*x^2 - 8382*x^3 + 840*x^4)/((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)).
a(n) = 21*a(n-1) - 175*a(n-2) + 735*a(n-3) - 1624*a(n-4) + 1764*a(n-5) - 720*a(n-6) for n>6.
MATHEMATICA
Table[122880 6^n - 307200 5^n + 264960 4^n - 90240 3^n + 9844 2^n - 122, {n, 0, 20}]
PROG
(Magma) [122880*6^n-307200*5^n+264960*4^n-90240*3^n+9844*2^n-122: n in [0..20]];
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Jul 06 2018
STATUS
approved