The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A303389 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A303389

Number of ways to write n as a*(a+1)/2 + b*(b+1)/2 + 5^c + 5^d, where a,b,c,d are nonnegative integers with a <= b and c <= d.
(history; published version)

#21 by OEIS Server at Wed Jun 06 11:36:19 EDT 2018

LINKS

Zhi-Wei Sun, <a href="/A303389/b303389_1.txt">Table of n, a(n) for n = 1..100000</a>

#20 by Bruno Berselli at Wed Jun 06 11:36:19 EDT 2018

STATUS

proposed

approved

Discussion

Wed Jun 06

11:36

OEIS Server: Installed new b-file as b303389.txt.  Old b-file is now b303389_1.txt.

#19 by Zhi-Wei Sun at Wed Jun 06 11:34:48 EDT 2018

STATUS

editing

proposed

#18 by Zhi-Wei Sun at Wed Jun 06 11:33:31 EDT 2018

COMMENTS

This has been verified for all n = 2..7*10^910.

See also A303363 A303401, A303432 and A303540 for a similar conjecture involving triangular numbers and powers of 2conjectures.

LINKS

Zhi-Wei Sun, <a href="/A303389/b303389_1.txt">Table of n, a(n) for n = 1..10000100000</a>

CROSSREFS

Cf. A000217, A000351, A271518, A273812, A281976, A299924, A299537, A299794, A300219, A300362, A300396, A300441, A301376, A301391, A301471, A301472, A302920, A302981, A302982, A302983, A302984, A302985, A303233, A303234, A303235, A303338, A303363, A303393, A303401, A303432, A303540.

STATUS

approved

editing

#17 by Bruno Berselli at Fri Apr 27 04:13:52 EDT 2018

STATUS

reviewed

approved

#16 by Michel Marcus at Fri Apr 27 02:18:29 EDT 2018

STATUS

proposed

reviewed

#15 by Zhi-Wei Sun at Fri Apr 27 01:36:17 EDT 2018

STATUS

editing

proposed

#14 by Zhi-Wei Sun at Fri Apr 27 01:36:08 EDT 2018

COMMENTS

This has been verified for all n = 2..67*10^9.

STATUS

approved

editing

#13 by Bruno Berselli at Wed Apr 25 14:01:33 EDT 2018

STATUS

proposed

approved

#12 by Zhi-Wei Sun at Wed Apr 25 12:32:01 EDT 2018

STATUS

editing

proposed