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%I #19 Jan 11 2025 03:09:21
%S 24,-504,4416,-19320,30240,100464,-591360,909144,1043280,-5346120,
%T 4080384,6932856,-5224128,-17040240,-14807040,110494944,-46366344,
%U -191905560,135085440,84389760,269444448,-410151984,-489646080,611981400,-346642800,1905256080
%N Fourier coefficients of -q*(Delta/q)' where Delta is the normalized unique weight-twelve cusp form for the full modular group (the generating function of Ramanujan's tau function).
%H Seiichi Manyama, <a href="/A289833/b289833.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = -n*A000594(n+1).
%e G.f.: 24*q - 504*q^2 + 4416*q^3 - 19320*q^4 + 30240*q^5 + 100464*q^6 - 591360*q^7 + ...
%t a[n_] := -n * RamanujanTau[n+1]; Array[a, 26] (* _Amiram Eldar_, Jan 11 2025 *)
%o (PARI) a(n) = -n * ramanujantau(n+1); \\ _Amiram Eldar_, Jan 11 2025
%Y Cf. A000594, A006352 (E_2), A147843.
%K sign,changed
%O 1,1
%A _Seiichi Manyama_, Jul 13 2017