The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A055047

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A055047

Numbers of the form 9^i*(3*j+1).
(history; published version)

#48 by N. J. A. Sloane at Thu Jun 11 02:58:24 EDT 2020

STATUS

editing

approved

#47 by N. J. A. Sloane at Thu Jun 11 02:58:21 EDT 2020

COMMENTS

The numbers not of the form 2*x2x^2 + 3*y3y^2 + 3*z3z^2.

FORMULA

a(n) = 8*n8n/3 + O(log n). - Charles R Greathouse IV, Dec 19 2013

STATUS

approved

editing

#46 by N. J. A. Sloane at Thu Jun 11 02:58:05 EDT 2020

STATUS

proposed

approved

#45 by G. C. Greubel at Thu Jun 11 01:22:33 EDT 2020

STATUS

editing

proposed

#44 by G. C. Greubel at Thu Jun 11 01:22:27 EDT 2020

COMMENTS

The numbers not of the form 2x2*x^2 +3y 3*y^2 +3z 3*z^2.

FORMULA

a(n) = 8n8*n/3 + O(log n). - Charles R Greathouse IV, Dec 19 2013

STATUS

proposed

editing

#43 by Michel Marcus at Sun May 17 14:57:49 EDT 2020

STATUS

editing

proposed

#42 by Michel Marcus at Sun May 17 14:57:41 EDT 2020

REFERENCES

L. J. Mordell, A new Waring's problem with squares of linear forms, Quart. J. Math., 1 (1930), 276-288 (see p. 283).

LINKS

L. J. Mordell, <a href="https://doi.org/10.1093/qmath/os-1.1.276">A new Waring's problem with squares of linear forms</a>, Quart. J. Math., 1 (1930), 276-288 (see p. 283).

STATUS

proposed

editing

#41 by Peter Munn at Sun May 17 14:12:51 EDT 2020

STATUS

editing

proposed

#40 by Peter Munn at Sun May 17 13:09:02 EDT 2020

COMMENTS

Numbers whose squarefree part is congruent to 1 modulo 3. - Peter Munn, May 17 2020

FORMULA

a(n) = A055041(n)/3. - Peter Munn, May 17 2020

CROSSREFS

Intersection of A007417 and A189715.

Complement of A055048 with respect to A007417.

Complement of A055040 with respect to A189715.

Cf. A007913, A055041, A055046, A055048, A233998, A233999.

STATUS

approved

editing

#39 by N. J. A. Sloane at Thu Jan 02 12:32:02 EST 2014

STATUS

proposed

approved