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A193103
G.f.: exp( Sum_{n>=1} 2*sigma(n*4^n)*x^n/n ).
1
1, 14, 161, 1678, 15524, 134844, 1113797, 8791370, 66966377, 495285252, 3566916109, 25105766336, 173194384597, 1173147905334, 7817490983485, 51328840496684, 332461481754542, 2126710086580138, 13448964442250078, 84145658562788118
OFFSET
0,2
EXAMPLE
G.f.: A(x) = 1 + 14*x + 161*x^2 + 1678*x^3 + 15524*x^4 + 134844*x^5 +...
log(A(x)) = 14*x + 126*x^2/2 + 1016*x^3/3 + 4094*x^4/4 + 24564*x^5/5 + 131064*x^6/6 + 524272*x^7/7 +...+ 2*sigma(n*4^n)*x^n/n +...
PROG
(PARI) {a(n)=polcoeff(exp(sum(m=1, n, 2*sigma(m*4^m)*x^m/m)+x*O(x^n)), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 15 2011
STATUS
approved