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A080034 a(n) is taken to be the smallest positive integer not already present which is consistent with the condition "n is a member of the sequence if and only if a(n) is congruent to 3 mod 4". 1
1, 3, 4, 7, 11, 6, 15, 19, 9, 23, 12, 27, 31, 14, 35, 39, 17, 43, 20, 47, 51, 22, 55, 59, 25, 63, 28, 67, 71, 30, 75, 79, 33, 83, 36, 87, 91, 38, 95, 99, 41, 103, 44, 107, 111, 46, 115, 119, 49, 123, 52, 127, 131, 54, 135, 139, 57, 143, 60, 147, 151, 62, 155, 159, 65, 163 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..65.

B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.

B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)

FORMULA

From Chai Wah Wu, Sep 27 2016: (Start)

a(n) = 2*a(n-8) - a(n-16) for n > 15.

G.f.: (x^15 + 5*x^14 + 2*x^13 + 9*x^12 + 13*x^11 + 4*x^10 + 17*x^9 + 7*x^8 + 19*x^7 + 15*x^6 + 6*x^5 + 11*x^4 + 7*x^3 + 4*x^2 + 3*x + 1)/(x^16 - 2*x^8 + 1). (End)

CROSSREFS

Equals A080033(n+1)-1.

Sequence in context: A291609 A291870 A002887 * A061447 A219188 A283428

Adjacent sequences:  A080031 A080032 A080033 * A080035 A080036 A080037

KEYWORD

easy,nonn

AUTHOR

N. J. A. Sloane, Mar 14 2003

EXTENSIONS

More terms from Matthew Vandermast, Mar 23 2003

STATUS

approved

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Last modified December 16 07:41 EST 2017. Contains 296076 sequences.