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A047449 Numbers that are primitively represented by x^2+y^2+z^2. 9
1, 2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 18, 19, 21, 22, 25, 26, 27, 29, 30, 33, 34, 35, 37, 38, 41, 42, 43, 45, 46, 49, 50, 51, 53, 54, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 73, 74, 75, 77, 78, 81, 82, 83, 85, 86, 89, 90, 91, 93, 94, 97, 98, 99, 101, 102, 105, 106 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..67.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1)

FORMULA

Numbers that are congruent to {1, 2, 3, 5, 6} mod 8.

Union of A047449 and A034045 is A000378. Intersection of A047449 and A034043 is A034046. Numbers that are in A000378 and not congruent to 0 mod 4. - Ray Chandler, Sep 05 2004

G.f. x*(1+x+x^2+2*x^3+x^4+2*x^5) / ( (x^4+x^3+x^2+x+1)*(x-1)^2 ). - R. J. Mathar, Dec 07 2011

a(1)=1, a(2)=2, a(3)=3, a(4)=5, a(5)=6, a(6)=9, a(n)=a(n-1)+a(n-5)-a(n-6). - Harvey P. Dale, Mar 05 2015

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 1, -1}, {1, 2, 3, 5, 6, 9}, 70] (* Harvey P. Dale, Mar 05 2015 *)

PROG

(PARI) a(n)=(n-1)\5*8+[6, 1, 2, 3, 5][n%5+1] \\ Charles R Greathouse IV, Jun 11 2015

CROSSREFS

Cf. A000378, A004215, A034043-A034047.

Sequence in context: A069880 A230044 A069861 * A162923 A107040 A045989

Adjacent sequences:  A047446 A047447 A047448 * A047450 A047451 A047452

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 19 00:12 EST 2019. Contains 329310 sequences. (Running on oeis4.)