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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (4,0,-8,4).

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: A287220 A220205 A196880 * A149179 A149180 A149181

Adjacent sequences:  A088010 A088011 A088012 * A088014 A088015 A088016

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Sep 18 2003

STATUS

approved

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Last modified July 5 20:21 EDT 2020. Contains 335473 sequences. (Running on oeis4.)