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A088013
Binomial transform of A001541 (with interpolated zeros).
1
1, 1, 4, 10, 36, 116, 400, 1352, 4624, 15760, 53824, 183712, 627264, 2141504, 7311616, 24963200, 85229824, 290992384, 993510400, 3392055808, 11581203456, 39540700160, 135000395776, 460920178688, 1573679927296, 5372879343616
OFFSET
0,3
FORMULA
G.f.: (1-3x+2x^3)/(1-4x+8x^3-4x^4);
e.g.f.: exp(x)cosh(x)cosh(sqrt(2)x);
a(n) = ((sqrt(2))^n + (-sqrt(2))^n + (2+sqrt(2))^n + (2-sqrt(2))^n)/4.
MATHEMATICA
LinearRecurrence[{4, 0, -8, 4}, {1, 1, 4, 10}, 30] (* Harvey P. Dale, Jun 16 2017 *)
CROSSREFS
Sequence in context: A196880 A359688 A358212 * A149179 A149180 A149181
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Sep 18 2003
STATUS
approved