0,3

Term-by-term square of sequence with e.g.f.: exp(x+m/2*x^2) is given by e.g.f.: exp(x/(1-m*x))/sqrt(1-m^2*x^2) for all m.

Term-by-term square equals A115328 which has e.g.f.: exp(x/(1-3*x))/sqrt(1-9*x^2).

(PARI) a(n)=local(m=3); n!*polcoeff(exp(x+m/2*x^2+x*O(x^n)), n)

Cf. A115328.

Sequence in context: A058819 A052394 A066229 this_sequence A099606 A081565 A032495

Adjacent sequences: A115324 A115325 A115326 this_sequence A115328 A115329 A115330

nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Jan 20 2006