PASCAL'S TRIANGLE


Pascal's Triangle: NOTE: this data file is "TAB separated" for transfer to a word processor or spreadsheet
[Mark the data; use Edit-Copy in this browser, then Edit-Paste into W/P or S/S]

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1
1	1
1	2	1
1	3	3	1
1	4	6	4	1
1	5	10	10	5	1
1	6	15	20	15	6	1
1	7	21	35	35	21	7	1
1	8	28	56	70	56	28	8	1
1	9	36	84	126	126	84	36	9	1
1	10	45	120	210	252	210	120	45	 ..
1	11	55	165	330	462	462	330	165	 ..
1	12	66	220	495	792	924	792	495	 ..
1	13	78	286	715	1287	1716	1716	1287	 ..
1	14	91	364	1001	2002	3003	3432	3003	 ..
1	15	105	455	1365	3003	5005	6435	6435	 ..
1	16	120	560	1820	4368	8008	11440	12870	 ..
1	17	136	680	2380	6188	12376	19448	24310	 ..
1	18	153	816	3060	8568	18564	31824	43758	 ..
1	19	171	969	3876	11628	27132	50388	75582	 ..
1	20	190	1140	4845	15504	38760	77520	125970	 ..
1	21	210	1330	5985	20349	54264	116280	203490	 ..
1	22	231	1540	7315	26334	74613	170544	319770	 ..
1	23	253	1771	8855	33649	100947	245157	490314	 ..
1	24	276	2024	10626	42504	134596	346104	735471	 ..
1	25	300	2300	12650	53130	177100	480700	1081575	 ..
1	26	325	2600	14950	65780	230230	657800	1562275	 ..
1	27	351	2925	17550	80730	296010	888030	2220075	 ..
1	28	378	3276	20475	98280	376740	1184040	3108105	 ..
1	29	406	3654	23751	118755	475020	1560780	4292145	 ..
1	30	435	4060	27405	142506	593775	2035800	5852925	 ..
1	31	465	4495	31465	169911	736281	2629575	7888725	 ..
1	32	496	4960	35960	201376	906192	3365856	 ..
1	33	528	5456	40920	237336	1107568	4272048	 ..
1	34	561	5984	46376	278256	1344904	5379616	 ..
1	35	595	6545	52360	324632	1623160	6724520	 ..
1	36	630	7140	58905	376992	1947792	8347680	 ..
1	37	666	7770	66045	435897	2324784	10295472	 ..
1	38	703	8436	73815	501942	2760681	12620256	 ..
1	39	741	9139	82251	575757	3262623	15380937	 ..
1	40	780	9880	91390	658008	3838380	18643560	 ..
1	41	820	10660	101270	749398	4496388	22481940	 ..
1	42	861	11480	111930	850668	5245786	26978328	 ..
1	43	903	12341	123410	962598	6096454	32224114	 ..
1	44	946	13244	135751	1086008	7059052	38320568	 ..
1	45	990	14190	148995	1221759	8145060	45379620	 ..
1	46	1035	15180	163185	1370754	9366819	53524680	 ..
1	47	1081	16215	178365	1533939	10737573	 ..
1	48	1128	17296	194580	1712304	12271512	 ..
1	49	1176	18424	211876	1906884	13983816	 ..
1	50	1225	19600	230300	2118760	15890700	 ..
1	51	1275	20825	249900	2349060	18009460	 ..
1	52	1326	22100	270725	2598960	20358520	 ..
1	53	1378	23426	292825	2869685	22957480	 ..
1	54	1431	24804	316251	3162510	25827165	 ..
1	55	1485	26235	341055	3478761	28989675	 ..
1	56	1540	27720	367290	3819816	32468436	 ..
1	57	1596	29260	395010	4187106	36288252	 ..
1	58	1653	30856	424270	4582116	40475358	 ..
1	59	1711	32509	455126	5006386	45057474	 ..
1	60	1770	34220	487635	5461512	50063860	 ..
1	61	1830	35990	521855	5949147	55525372	 ..
1	62	1891	37820	557845	6471002	61474519	 ..
1	63	1953	39711	595665	7028847	67945521	 ..
1	64	2016	41664	635376	7624512	74974368	 ..
1	65	2080	43680	677040	8259888	82598880	 ..
1	66	2145	45760	720720	8936928	90858768	 ..
1	67	2211	47905	766480	9657648	99795696	 ..
1	68	2278	50116	 814385	10424128	109453344	 ..
1	69	2346	52394	 864501	11238513	119877472	 ..
1	70	2415	54740	 916895	12103014	131115985	 ..
1	71	2485	57155	 971635	13019909	143218999	 ..
1	72	2556	59640	1028790	13991544	156238908	 ..
1	73	2628	62196	1088430	15020334	170230452	 ..
1	74	2701	64824	1150626	16108764	185250786	 ..
1	75	2775	67525	1215450	17259390	201359550	 ..
1	76	2850	70300	1282975	18474840	218618940	 ..
1	77	2926	73150	1353275	19757815	237093780	 ..
1	78	3003	76076	1426425	21111090	256851595	 ..
1	79	3081	79079	1502501	22537515	277962685	 ..
1	80	3160	82160	1581580	24040016	300500200	 ..
1	81	3240	85320	1663740	25621596	324540216	 ..
1	82	3321	88560	1749060	27285336	350161812	 ..
1	83	3403	91881	1837620	29034396	377447148	 ..
1	84	3486	95284	1929501	30872016	406481544	 ..
1	85	3570	98770	2024785	32801517	437353560	 ..
1	86	3655 	102340	2123555	34826302	470155077	 ..
1	87	3741 	105995	2225895	36949857	504981379	 ..
1	88	3828 	109736	2331890	39175752	541931236	 ..
1	89	3916 	113564	2441626	41507642	581106988	 ..
1	90	4005 	117480	2555190	43949268	622614630	 ..
1	91	4095 	121485	2672670	46504458	666563898	 ..
1	92	4186 	125580	2794155	49177128	713068356	 ..
1	93	4278 	129766	2919735	51971283	762245484	 ..
1	94	4371 	134044	3049501	54891018	814216767	 ..
1	95	4465 	138415	3183545	57940519	869107785	 ..
1	96	4560 	142880	3321960	61124064	927048304	 ..
1	97	4656 	147440	3464840	64446024	988172368	 ..
1	98	4753 	152096	3612280	67910864	1.05261839e9	 ..
1	99	4851 	156849	3764376	71523144	1.12052926e9	 ..
1	100	4950	161700	3921225	75287520	1.19205240e9	 ..

---

1	999999999	4.99999998e17	1.666666666e26	4.16666663e34	 ..

---

NOTE: numbers quickly get very large, and for the simple management of the screen and text output, 
  only the left hand section of the triangle is shown beyond n=16. 

n = row number
r = 0,1,2 ... n
nCr = n!/r!/(n-r)! = [n.(n-1).(n-2)...(n-r+1)]/r!

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