The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A253709 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A253709

Integer squares c^2 that are equal to the sums of M (A253707) consecutive cubed integers equaling a squared integer, b^3 + (b+1)^3 + ... + (b+M-1)^3 = c^2, for a first term b(n) being an odd squared integer (A016754).
(history; published version)

#33 by Charles R Greathouse IV at Thu Sep 08 08:46:10 EDT 2022

PROG

(MAGMAMagma) [((n*(n+1)/2)*(4*(2*n+1)^4-1))^2: n in [1..20]]; // Vincenzo Librandi, Jan 15 2015

Discussion

Thu Sep 08

08:46

OEIS Server: https://oeis.org/edit/global/2944

#32 by Charles R Greathouse IV at Sat Feb 04 01:05:13 EST 2017

LINKS

R. J. Stroeker, <a href="http://www.numdam.org/item?id=CM_1995__97_1-2_295_0">On the sum of consecutive cubes being a perfect square</a>, Compositio Mathematica, 97 no. 1-2 (1995), ppp. 295-307.

Discussion

Sat Feb 04

01:05

OEIS Server: https://oeis.org/edit/global/2594

#31 by Charles R Greathouse IV at Sat Jun 13 00:55:21 EDT 2015

LINKS

<a href="/index/Rec#order_13">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Discussion

Sat Jun 13

00:55

OEIS Server: https://oeis.org/edit/global/2439

#30 by Peter Luschny at Tue Mar 03 16:34:53 EST 2015

STATUS

reviewed

approved

#29 by Michel Marcus at Fri Feb 27 01:17:00 EST 2015

STATUS

proposed

reviewed

#28 by Vladimir Pletser at Wed Feb 25 22:01:27 EST 2015

STATUS

editing

proposed

Discussion

Wed Feb 25

22:06

Vladimir Pletser: Could we please come to a conclusion of this review ?

#27 by Vladimir Pletser at Wed Feb 25 22:01:20 EST 2015

LINKS

Vladimir Pletser, <a href="http://arxiv.org/abs/1501.06098">General solutions of sums of consecutive cubed integers equal to cubed squared integers</a>, arXiv:1501.06098 [math.NT], 2015.

STATUS

reviewed

editing

#26 by Michel Marcus at Thu Feb 19 11:11:50 EST 2015

STATUS

proposed

reviewed

Discussion

Wed Feb 25

22:00

Vladimir Pletser: To Michel Marcus, I just noticed that the change of link made in #24 on 18 Feb is wrong. The paper "General solutions of sums of consecutive cubed integers equal to CUBED integers" is not yet written and is certainly not yet submitted to ArXiv. The ArXiv reference (arXiv:1501.06098 [math.NT]) is for the paper titled "General solutions of sums of consecutive cubed integers equal to SQUARED integers" as was initially introduced under #20 on 27 Jan. So I have corrected it.

#25 by Michel Marcus at Wed Feb 18 11:19:13 EST 2015

STATUS

editing

proposed

#24 by Michel Marcus at Wed Feb 18 11:19:00 EST 2015

LINKS

V. Vladimir Pletser, <a href="http://arxiv.org/abs/1501.06098">General solutions of sums of consecutive cubed integers equal to squared cubed integers, http://arxiv.org/abs</a>, arXiv:1501.06098, 24 January [math.NT], 2015.

STATUS

proposed

editing

Discussion

Wed Feb 18

11:19

Michel Marcus: Fixed link