login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A061858 Differences between the ordinary multiplication table A004247 and the carryless multiplication table for GF(2)[X] polynomials A048720, i.e., the effect of the carry bits in binary multiplication. 12
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 12, 0, 8, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,25

LINKS

Table of n, a(n) for n=0..101.

FORMULA

a(n) = A004247(n) - A048720(n).

EXAMPLE

From Peter Munn, Jan 28 2021: (Start)

The top left 12 X 12 corner of the table:

| 0 1 2 3 4 5 6 7 8 9 10 11

------+------------------------------------------------

0 | 0 0 0 0 0 0 0 0 0 0 0 0

1 | 0 0 0 0 0 0 0 0 0 0 0 0

2 | 0 0 0 0 0 0 0 0 0 0 0 0

3 | 0 0 0 4 0 0 8 12 0 0 0 4

4 | 0 0 0 0 0 0 0 0 0 0 0 0

5 | 0 0 0 0 0 8 0 8 0 0 16 16

6 | 0 0 0 8 0 0 16 24 0 0 0 8

7 | 0 0 0 12 0 8 24 28 0 0 16 28

8 | 0 0 0 0 0 0 0 0 0 0 0 0

9 | 0 0 0 0 0 0 0 0 0 16 0 16

10 | 0 0 0 0 0 16 0 16 0 0 32 32

11 | 0 0 0 4 0 16 8 28 0 16 32 52

(End)

CROSSREFS

"Zoomed in" variant: A061859.

Rows/columns 3, 5 and 7 are given by A048728, A048729, A048730.

Main diagonal divided by 4: A213673.

Numbers that generate no carries when multiplied in binary by 11_2: A003714, by 101_2: A048716, by 1001_2: A115845, by 10001_2: A115847, by 100001_2: A114086.

Other sequences related to the presence/absence of a carry in binary multiplication: A116361, A235034, A235040, A236378, A266195, A289726.

Sequence in context: A089418 A274981 A124856 * A005873 A217511 A307380

Adjacent sequences: A061855 A061856 A061857 * A061859 A061860 A061861

KEYWORD

nonn,tabl,easy

AUTHOR

Antti Karttunen, May 11 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 9 18:21 EST 2022. Contains 358703 sequences. (Running on oeis4.)