Binomial number (no ontology)

From Compile Worlds

Revision as of 13:11, 2 May 2009 by Keiji (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A binomial number is a number whose digits can be expressed as a binomial, i.e. it is a polynomial number of order 2. As such, all numbers with two or less digits are linear numbers.

Three-digit binomial numbers

m\c	1	2	3	4	5	6	7	8	9
1	123	234	345	456	567	678	789	890	901
2	135	246	357	468	579	680	791	802	913
3	147	258	369	470	581	692	703	814	925
4	159	260	371	482	593	604	715	826	937
5	161	272	383	494	505	616	727	838	949
6	173	284	395	406	517	628	739	840	951
7	185	296	307	418	529	630	741	852	963
8	197	208	319	420	531	642	753	864	975
9	109	210	321	432	543	654	765	876	987

Four-digit binomial numbers

m\c	1	2	3	4	5	6	7	8	9
1	1,234	2,345	3,456	4,567	5,678	6,789	7,890	8,910	9,012
2	1,357	2,468	3,579	4,680	5,791	6,802	7,913	8,024	9,135
3	1,470	2,581	3,692	4,703	5,814	6,925	7,036	8,147	9,258
4	1,593	2,604	3,715	4,826	5,937	6,048	7,159	8,260	9,371
5	1,616	2,727	3,838	4,949	5,050	6,161	7,272	8,383	9,494
6	1,739	2,840	3,951	4,062	5,173	6,284	7,395	8,406	9,517
7	1,852	2,963	3,074	4,185	5,296	6,307	7,418	8,529	9,630
8	1,975	2,086	3,197	4,208	5,319	6,420	7,531	8,642	9,753
9	1,098	2,109	3,210	4,321	5,432	6,543	7,654	8,765	9,876

m\c	1	2	3	4	5	6	7	8	9
1	123	234	345	456	567	678	789	890	901
2	135	246	357	468	579	680	791	802	913
3	147	258	369	470	581	692	703	814	925
4	159	260	371	482	593	604	715	826	937
5	161	272	383	494	505	616	727	838	949
6	173	284	395	406	517	628	739	840	951
7	185	296	307	418	529	630	741	852	963
8	197	208	319	420	531	642	753	864	975
9	109	210	321	432	543	654	765	876	987

m\c	1	2	3	4	5	6	7	8	9
1	123	234	345	456	567	678	789	890	901
2	135	246	357	468	579	680	791	802	913
3	147	258	369	470	581	692	703	814	925
4	159	260	371	482	593	604	715	826	937
5	161	272	383	494	505	616	727	838	949
6	173	284	395	406	517	628	739	840	951
7	185	296	307	418	529	630	741	852	963
8	197	208	319	420	531	642	753	864	975
9	109	210	321	432	543	654	765	876	987

m\c	1	2	3	4	5	6	7	8	9
1	123	234	345	456	567	678	789	890	901
2	135	246	357	468	579	680	791	802	913
3	147	258	369	470	581	692	703	814	925
4	159	260	371	482	593	604	715	826	937
5	161	272	383	494	505	616	727	838	949
6	173	284	395	406	517	628	739	840	951
7	185	296	307	418	529	630	741	852	963
8	197	208	319	420	531	642	753	864	975
9	109	210	321	432	543	654	765	876	987