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A098179 Expansion of (1-3*x+3*x^2)/(1-5*x+10*x^2-10*x^3+4*x^4). 1
1, 2, 3, 5, 11, 27, 63, 135, 271, 527, 1023, 2015, 4031, 8127, 16383, 32895, 65791, 131327, 262143, 523775, 1047551, 2096127, 4194303, 8390655, 16781311, 33558527, 67108863, 134209535, 268419071, 536854527, 1073741823, 2147516415 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of A038503. Binomial transform of A098178.

LINKS

Table of n, a(n) for n=0..31.

FORMULA

a(n) = 2^n+2^(n/2)cos(pi*n/4)-1; a(n) = 5a(n-1)-10a(n-2)+10a(n-3)-4a(n-4).

MATHEMATICA

LinearRecurrence[{5, -10, 10, -4}, {1, 2, 3, 5}, 40] (* or *) CoefficientList[ Series[(1-3 x+3 x^2)/(1-5 x+10 x^2-10 x^3+4 x^4), {x, 0, 40}], x] (* Harvey P. Dale, Oct 06 2011 *)

CROSSREFS

Sequence in context: A000628 A006888 A009589 * A055228 A098642 A079447

Adjacent sequences:  A098176 A098177 A098178 * A098180 A098181 A098182

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Aug 30 2004

STATUS

approved

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Last modified April 16 21:07 EDT 2014. Contains 240627 sequences.