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A012774 Expansion of e.g.f. arcsin(sec(x) * log(x+1)). 0

%I #9 Jul 27 2018 04:35:59

%S 0,1,-1,6,-18,143,-915,9730,-100940,1376357,-19680165,332019710,

%T -6000731022,121502892067,-2640899177735,62588297762666,

%U -1585329875795640,43101529687518377,-1245060181757058633

%N Expansion of e.g.f. arcsin(sec(x) * log(x+1)).

%e x - 1/2!*x^2 + 6/3!*x^3 - 18/4!*x^4 + 143/5!*x^5 ...

%o (PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(asin(log(x+1)/cos(x))))) \\ _Michel Marcus_, Jul 27 2018

%K sign

%O 0,4

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E a(0) inserted and title improved by _Sean A. Irvine_, Jul 24 2018

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)