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Revisions by Bert Dobbelaere (See also Bert Dobbelaere's wiki page)

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) is the smallest nonnegative integer k where exactly n ordered pairs of positive integers (x, y) exist such that x^2 + x*y + y^2 = k.
(history; published version)
#63 by Bert Dobbelaere at Sun Jun 30 04:08:31 EDT 2024
STATUS

editing

proposed

Discussion
Sun Jun 30
04:16
David A. Corneth: I see. I mean at A003136 he has 6*Prod_{i=... instead of 2*such product
04:19
David A. Corneth: And for a(26), I see just gave f(26) instead of min(f(26),f(27))
#62 by Bert Dobbelaere at Sun Jun 30 04:08:07 EDT 2024
COMMENTS

a(n) is the smallest nonnegative k such that A374088(k) = n.From _Chai Wah Wu_, Jun 28 2024: (Start)

From Chai Wah Wu, Jun 28 2024: (Start)

STATUS

proposed

editing

#61 by Bert Dobbelaere at Sun Jun 30 04:06:56 EDT 2024
STATUS

editing

proposed

#60 by Bert Dobbelaere at Sun Jun 30 03:59:29 EDT 2024
DATA

0, 3, 7, 147, 91, 7203, 637, 352947, 1729, 24843, 31213, 847425747, 12103, 41523861603, 405769, 1217307, 53599, 99698791708803, 157339, 4885240793731347, 593047, 59648043

COMMENTS

a(n) is the smallest nonnegative k such that A374088(k) = n.From _Chai Wah Wu_, Jun 28 2024: (Start)

a(20) = 593047.

a(21) = 59648043.

From Chai Wah Wu, Jun 28 2024: (Start)

EXTENSIONS

a(19) from Bert Dobbelaere, Jun 30 2024

STATUS

proposed

editing

#27 by Bert Dobbelaere at Fri Jun 28 17:39:26 EDT 2024
STATUS

editing

proposed

#26 by Bert Dobbelaere at Fri Jun 28 17:37:02 EDT 2024
COMMENTS

a(n) is the smallest nonnegative k such that A374088(k) = n.a(20) = 593047.

a(20) = 593047.

Discussion
Fri Jun 28
17:39
Bert Dobbelaere: Seems David's prediction was correct
#25 by Bert Dobbelaere at Fri Jun 28 17:36:16 EDT 2024
DATA

0, 3, 7, 147, 91, 7203, 637, 352947, 1729, 24843, 31213, 847425747, 12103, 41523861603, 405769, 1217307, 53599, 99698791708803, 157339

COMMENTS

a(n) is the smallest nonnegative k such that A374088(k) = n.a(20) = 593047.

a(18) = 157339.

a(20) = 593047.

EXTENSIONS

a(17) from Bert Dobbelaere, Jun 28 2024

STATUS

proposed

editing

Number n-cyclic graphs.
(history; published version)
#17 by Bert Dobbelaere at Wed Jun 26 18:07:29 EDT 2024
STATUS

editing

proposed

#16 by Bert Dobbelaere at Wed Jun 26 18:07:11 EDT 2024
DATA

1, 3, 3, 10, 12, 35, 58, 160, 341, 958, 2444, 7242, 21190, 67217, 217335, 740542, 2593802, 9444080, 35383843

EXTENSIONS

a(18)-a(21) from Bert Dobbelaere, Jun 26 2024

STATUS

approved

editing

Third root of n contains n as a string of digits to the immediate right of the decimal point (excluding leading zeros).
(history; published version)
#19 by Bert Dobbelaere at Sun Jun 23 15:52:33 EDT 2024
STATUS

editing

proposed