The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A298486 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A298486

Square array T(n, k), n >= 0, k >= 0, read by antidiagonals upwards: T(n, k) = the (k+1)-th nonnegative number m such that n + m can be computed with carry in decimal base.
(history; published version)

#14 by Alois P. Heinz at Tue Mar 27 16:27:15 EDT 2018

STATUS

editing

approved

#13 by Alois P. Heinz at Tue Mar 27 16:05:57 EDT 2018

KEYWORD

nonn,base,tabl

STATUS

approved

editing

#12 by Joerg Arndt at Mon Jan 22 03:05:32 EST 2018

STATUS

reviewed

approved

#11 by Michel Marcus at Sun Jan 21 11:39:32 EST 2018

STATUS

proposed

reviewed

#10 by Rémy Sigrist at Sun Jan 21 06:18:36 EST 2018

STATUS

editing

proposed

#9 by Rémy Sigrist at Sun Jan 21 05:24:28 EST 2018

LINKS

Rémy Sigrist, <a href="/A298486/b298486.txt">Table of n, a(n) for n = 0..5150</a>

STATUS

approved

editing

Discussion

Sun Jan 21

06:18

Rémy Sigrist: added b-file

#8 by Susanna Cuyler at Sun Jan 21 04:09:53 EST 2018

STATUS

proposed

approved

#7 by Rémy Sigrist at Sun Jan 21 02:09:42 EST 2018

STATUS

editing

proposed

#6 by Rémy Sigrist at Sat Jan 20 04:53:28 EST 2018

FORMULA

- T(n, 1) = 10^A122840(n+1),

CROSSREFS

Cf. A001477, A004218, A008592, A122840, A295653, A298372.

#5 by Rémy Sigrist at Sat Jan 20 04:41:52 EST 2018

COMMENTS

The corresponding sequence for the binary base is A295653.

FORMULA

For any n >= 0 and k >= 0:

- T(0, k) = k,

- T(9, k) = 10 * k,

- T(10^n - 1, k) = 10^n * k,

- T(n, 0) = 0,

- T(n, k + A298372(n)) = k + 10^A004218(n+1) (i.e. each row is linear).

EXAMPLE

0| 0 1 2 3 4 5 6 7 8 9 10 ... <-- A001477

9| 0 10 20 30 40 50 60 70 80 90 100 ... <-- A008592

CROSSREFS

Cf. A001477, A004218, A008592, A295653, A298372.