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A166752 Interleave A007583 and A000012. 1
1, 1, 3, 1, 11, 1, 43, 1, 171, 1, 683, 1, 2731, 1, 10923, 1, 43691, 1, 174763, 1, 699051, 1, 2796203, 1, 11184811, 1, 44739243, 1, 178956971, 1, 715827883, 1, 2863311531, 1, 11453246123, 1, 45812984491, 1, 183251937963, 1, 733007751851, 1 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Partial sums are A166753.

FORMULA

G.f.: (1+x-2x^2-4x^3)/(1-5x^2+4x^4)=(1+x)/(1-5x^2+4x^4)-2x^2(1+2x)/(1-5x^2+4x^4).

a(n)=(4*4^floor(n/2)-1)/3-2*floor(2^n/3)=4*4^floor(n/2)/3-2*2^n/3-(-1)^n/3+2/3;

a(n)=A002450(floor(n/2)+1)-2*A000975(n-1).

CROSSREFS

Sequence in context: A119632 A201131 A134761 * A205483 A120291 A099001

Adjacent sequences:  A166749 A166750 A166751 * A166753 A166754 A166755

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 21 2009

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Last modified February 17 08:44 EST 2012. Contains 205998 sequences.