History of Bernoulli numbers

+Title: Bernoulli numbers+Definition: The Bernoulli numbers $B_n$ are the coefficients of the exponential generating+  functon $\frac{t}{e^t-1} = \sum_{n=0}^\infty \frac{B_nt^n}{n!}$.+Parameters: ''+Comments:+  comment-sign-convention: Some authors prefer to define $B^+_n = (-1)^n B_n$ as Bernoulli+    numbers.+Formulas:+  formula-cosh: $\sum_{n=0}^\infty \frac{B_nt^n}{n!} =  \frac{t}{2}\left(\coth \frac{t}{2}-1)\right)$.+  formula-zeta: $B_n = (-1)^{n+1} n \zeta(1-n)$ for $n\geq 1$,  where $\zeta$ is the+    Riemann zeta function.+Programs:+  program-sage:+    language: Sage+    code: numbers = [bernoulli(n) for n in range(1..10)]+References: {}+Links:+  Wiki:+    title: 'Wikipedia: Bernoulli number'+    url: https://en.wikipedia.org/wiki/Bernoulli_number+Similar tables: ''+Keywords: ''+Tags:+- sequence+- generating function+- special values+Data properties:+  type: Q+Numbers:+  '0': '1'+  '1': -1/2+  '2': 1/6+  '3': '0'+  '4': -1/30+  '5': '0'+  '6': 1/42+  '7': '0'+  '8': -1/30+  '9': '0'+  '10': 5/66+  '11': '0'+  '12': -691/2730+  '13': '0'+  '14': 7/6+  '15': '0'+  '16': -3617/510+  '17': '0'+  '18': 43867/798+  '19': '0'+  '20': -174611/330+  '21': '0'+  '22': 854513/138+  '23': '0'+  '24': -236364091/2730+  '25': '0'+  '26': 8553103/6+  '27': '0'+  '28': -23749461029/870+  '29': '0'+  '30': 8615841276005/14322+  '31': '0'+  '32': -7709321041217/510+  '33': '0'+  '34': 2577687858367/6+  '35': '0'+  '36': -26315271553053477373/1919190+  '37': '0'+  '38': 2929993913841559/6+  '39': '0'+  '40': -261082718496449122051/13530+  '41': '0'+  '42': 1520097643918070802691/1806+  '43': '0'+  '44': -27833269579301024235023/690+  '45': '0'+  '46': 596451111593912163277961/282+  '47': '0'+  '48': -5609403368997817686249127547/46410+  '49': '0'+  '50': 495057205241079648212477525/66+  '51': '0'+  '52': -801165718135489957347924991853/1590+  '53': '0'+  '54': 29149963634884862421418123812691/798+  '55': '0'+  '56': -2479392929313226753685415739663229/870+  '57': '0'+  '58': 84483613348880041862046775994036021/354+  '59': '0'+  '60': -1215233140483755572040304994079820246041491/56786730+  '61': '0'+  '62': 12300585434086858541953039857403386151/6+  '63': '0'+  '64': -106783830147866529886385444979142647942017/510+  '65': '0'+  '66': 1472600022126335654051619428551932342241899101/64722+  '67': '0'+  '68': -78773130858718728141909149208474606244347001/30+  '69': '0'+  '70': 1505381347333367003803076567377857208511438160235/4686+  '71': '0'+  '72': -5827954961669944110438277244641067365282488301844260429/140100870+  '73': '0'+  '74': 34152417289221168014330073731472635186688307783087/6+  '75': '0'+  '76': -24655088825935372707687196040585199904365267828865801/30+  '77': '0'+  '78': 414846365575400828295179035549542073492199375372400483487/3318+  '79': '0'+  '80': -4603784299479457646935574969019046849794257872751288919656867/230010+  '81': '0'+  '82': 1677014149185145836823154509786269900207736027570253414881613/498+  '83': '0'+  '84': -2024576195935290360231131160111731009989917391198090877281083932477/3404310+  '85': '0'+  '86': 660714619417678653573847847426261496277830686653388931761996983/6+  '87': '0'+  '88': -1311426488674017507995511424019311843345750275572028644296919890574047/61410+  '89': '0'+  '90': 1179057279021082799884123351249215083775254949669647116231545215727922535/272118+  '91': '0'+  '92': -1295585948207537527989427828538576749659341483719435143023316326829946247/1410+  '93': '0'+  '94': 1220813806579744469607301679413201203958508415202696621436215105284649447/6+  '95': '0'+  '96': -211600449597266513097597728109824233673043954389060234150638733420050668349987259/4501770+  '97': '0'+  '98': 67908260672905495624051117546403605607342195728504487509073961249992947058239/6+  '99': '0'+  '100': -94598037819122125295227433069493721872702841533066936133385696204311395415197247711/33330