The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A180425 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A180425

Number of positive integers below 10^n requiring 3 positive squares in their representation as sum of squares.
(history; published version)

#29 by N. J. A. Sloane at Sun Jul 20 09:47:49 EDT 2014

STATUS

editing

approved

#28 by N. J. A. Sloane at Sun Jul 20 09:47:31 EDT 2014

COMMENTS

A049416(n) + A180416(n) + a(n) + A167615(n) = A002283(n).

FORMULA

A049416(n) + A180416(n) + a(n) + A167615(n) = A002283(n).

CROSSREFS

Cf. A000419, A049416, A180416, A167615, A002283.

STATUS

proposed

editing

Discussion

Sun Jul 20

09:47

N. J. A. Sloane: added missing cross-references

#27 by Michel Marcus at Sun Jul 13 06:22:14 EDT 2014

STATUS

editing

proposed

#26 by Michel Marcus at Sun Jul 13 06:21:20 EDT 2014

EXTENSIONS

a(6)=616995 by _Lars Blomberg, _, May 03 2011.

#25 by Michel Marcus at Sun Jul 13 05:52:19 EDT 2014

LINKS

Eric W. Weisstein: , <a href="http://mathworld.wolfram.com/LagrangesFour-SquareTheorem.html">MathWorld -- Lagrange's Four-Square Theorem.</a>

Eric W. Weisstein: , <a href="http://mathworld.wolfram.com/SumofSquaresFunction.html">MathWorld -- Sum of Squares Function.</a>

FORMULA

a(n) = #{k: A000419(k) < 10^n}.

STATUS

proposed

editing

#24 by Michel Marcus at Sun Jul 13 05:44:46 EDT 2014

STATUS

editing

proposed

#23 by Michel Marcus at Sun Jul 13 05:44:35 EDT 2014

COMMENTS

A049416(n) + A180416(n) + a(n) + A167615(n) = A002283(n).

STATUS

proposed

editing

#22 by Hiroaki Yamanouchi at Sun Jul 13 05:21:32 EDT 2014

STATUS

editing

proposed

#21 by Hiroaki Yamanouchi at Sun Jul 13 05:21:06 EDT 2014

DATA

2, 42, 505, 5586, 59308, 616995, 6347878, 64875490, 660104281, 66956957586695709182, 67762820595, 684596704482, 6907026402474, 69611115440126, 700946070114283, 7053023642205904

EXTENSIONS

a(10) corrected and a(11)-a(16) from Hiroaki Yamanouchi, Jul 13 2014

STATUS

approved

editing

#20 by Russ Cox at Sat Mar 31 10:24:16 EDT 2012

AUTHOR

_Martin Renner (martin.renner(AT)gmx.net), _, Jan 19 2011

Discussion

Sat Mar 31

10:24

OEIS Server: https://oeis.org/edit/global/409