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A109243
2^(n-1)J(n,1/2) where J(n,x)=n-th Jacobsthal polynomial.
0
0, 1, 2, 6, 32, 28, 248, 120, 1504, 496, 8096, 2016, 40704, 8128, 195968, 32640, 915968, 130816, 4190720, 523776, 18866176, 2096128, 83867648, 8386560, 369057792, 33550336, 1610522624, 134209536, 6979125248, 536854528
OFFSET
0,3
COMMENTS
a(2n+1)=A006516(n+1).
FORMULA
G.f.: x(1+2x-6x^2+8x^3+8x^4-32x^5)/((1-2x^2)(1-4x^2)(1-6x^2+8x^4)); a(n)=12a(n-2)-52a(n-4)+96a(n-6)-64a(n-8).
MATHEMATICA
LinearRecurrence[{0, 12, 0, -52, 0, 96, 0, -64}, {0, 1, 2, 6, 32, 28, 248, 120}, 40] (* Harvey P. Dale, Dec 03 2015 *)
CROSSREFS
Sequence in context: A376052 A190958 A340232 * A223586 A212762 A108327
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jun 23 2005
STATUS
approved