A127610
a(n) = floor(( (n+1)/2 )^n) - n!.
Original entry on oeis.org
0, 0, 0, 2, 15, 123, 1118, 11344, 127831, 1590245, 21700716, 322880256, 5209007463, 90661989607, 1694616510154, 33876697720832, 721588072472639, 16321494271570569, 390811944752490542, 9878354899591168000, 262896868506265373394, 7349159002086450661211
Offset: 0
- D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.14.
A127585
Exponential error term from Stirling's Approximation.
Original entry on oeis.org
1, 1, 18, 345, 10243, 437769, 25260317, 1873346813, 172254143084, 19114537903943, 2506628271002200, 382005168783773474, 66734799966312471195, 13212509243902296154744, 2936153006332857671962341, 726345521215072990990045577, 198595552305314906351047196508
Offset: 0
a(1) = Floor[(sqrt(2*pi) * (1^1) * (1^(1/2))) - 1! ] = Floor(1.50662827) = 1.
a(2) = Floor[(sqrt(2*pi) * (2^2) * (2^(2/2))) - 2! ] = Floor(18.0530262) = 18.
A369393
a(n) = 2^n*(((n + 1)/2)^n - n!).
Original entry on oeis.org
0, 0, 1, 16, 241, 3936, 71569, 1452032, 32724801, 814205440, 22221533401, 661258764288, 21336094568881, 742703018860544, 27764596902369825, 1110071630916222976, 47289995917566900481, 2139290897163297619968, 102449006445196880700841, 5179102933596854288384000, 275667346790825720172556401
Offset: 0
Showing 1-3 of 3 results.
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