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 A229213 Square array of denominators of t(n,k) = (1+1/(k*n))^n, read by descending antidiagonals. 1
 1, 2, 4, 3, 16, 27, 4, 36, 216, 256, 5, 64, 729, 4096, 3125, 6, 100, 1728, 20736, 100000, 46656, 7, 144, 3375, 65536, 759375, 2985984, 823543, 8, 196, 5832, 160000, 3200000, 34012224, 105413504, 16777216, 9, 256 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Limit(t(n,k), n -> infinity) = exp(1/k). 1st row = A000027 2nd row = A016742 3rd row = A016767 4th row = A016804 5th row = A016853 1st column = A000312 2nd column = A062971 3rd column = A091482 4th column = A091483 LINKS EXAMPLE Table of fractions begins:    2,       3/2,        4/3,         5/4, ...   9/4,     25/16,      49/36,       81/64, ... 64/27,   343/216,   1000/729,    2197/1728, ... 625/256, 6561/4096, 28561/20736, 83521/65536, ... ... Table of denominators begins: 1,      2,     3,     4, ... 4,     16,    36,    64, ... 27,   216,   729,  1728, ... 256, 4096, 20736, 65536, ... ... Triangle of antidiagonals begins: 1; 2, 4; 3, 16, 27; 4, 36, 216, 256; ... MATHEMATICA t[n_, k_] := (1+1/(k*n))^n; Table[t[n-k+1, k], {n, 1, 9}, {k, n, 1, -1}] // Flatten // Denominator CROSSREFS Cf. A229212(numerators), A016742, A016767, A016804, A016853, A000312, A062971, A091482, A091483. Sequence in context: A053124 A242500 A132049 * A071970 A182103 A303053 Adjacent sequences:  A229210 A229211 A229212 * A229214 A229215 A229216 KEYWORD frac,tabl,nonn AUTHOR Jean-François Alcover, Sep 16 2013 STATUS approved

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Last modified April 20 19:13 EDT 2021. Contains 343137 sequences. (Running on oeis4.)