A180591 G.f.: A(x) = exp( Sum_{n>=1} 2^[A001511(n)^2]*x^n/n ) where A001511(n) is the exponent in the highest power of 2 that divides 2n.

1, 2, 10, 18, 178, 338, 1450, 2562, 23234, 43906, 186602, 329298, 2276914, 4224530, 16898506, 29572482, 191488770, 353405058, 1394069578, 2434734098, 14073489714, 25712245330, 97969052778, 170225860226, 938475356354

Offset: 0

Author

Paul D. Hanna, Sep 10 2010

Keywords

• nonn

Examples

			G.f.: A(x) = 1 + 2*x + 10*x^2 + 18*x^3 + 178*x^4 + 338*x^5 +...
log(A(x)) = 2^1*x + 2^4*x^2/2 + 2^1*x^3/3 + 2^9*x^4/4 + 2^1*x^5/5 + 2^4*x^6/6 + 2^1*x^7/7 + 2^16*x^8/8 +...+ 2^[A001511(n)^2]*x^n/n +...
		

Crossrefs

Cf. A155200, A001511, A000123.

Programs

PARI

{a(n)=polcoeff(exp(sum(m=1,n,2^(valuation(2*m,2)^2)*x^m/m)+x*O(x^n)),n)}

Extensions

Name corrected by Paul D. Hanna, Sep 19 2010