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A072401 1 iff n is of the form 4^m*(8k+7). +0
6
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0 (list; graph; listen)
OFFSET

0,1

COMMENT

Characteristic function of A004215, indicating numbers not the sum of 3 integer squares.

REFERENCES

J.-P. Allouche and J. Shallit, The ring of k-regular sequences (Example 20), Theoretical Computer Science, 98 (1992), 163-197.

LINKS

J.-P. Allouche and J. Shallit, The ring of k-regular sequences, Theoretical Computer Sci., 98 (1992), 163-197.

Eric Weisstein's World of Mathematics, Square Numbers.

Index entries for sequences related to sums of squares.

FORMULA

a(n) = 1 - A057427(7 - A072400(n)).

CROSSREFS

a(A004215(k)) = 1 for k>0, a(n) = A057427(A064873(n)), for k<112: a(n)=A064873(n), but A064873(112)=2, as also a(112 - 1) = 1.

Cf. A071374.

Sequence in context: A045698 A011722 A044938 this_sequence A064873 A037823 A115790

Adjacent sequences: A072398 A072399 A072400 this_sequence A072402 A072403 A072404

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 16 2002

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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