A174470 G.F.: exp( Sum_{n>=1} A014578(n)*(3x)^n/n ), where A014578 is the binary expansion of Thue constant.

1, 3, 9, 18, 54, 162, 405, 1215, 3645, 11907, 35721, 107163, 279936, 839808, 2519424, 6948099, 20844297, 62532891, 199762767, 599288301, 1797864903, 4931772480, 14795317440, 44385952320, 125801650638, 377404951914, 1132214855742

Offset

0,2

Comments

Conjectured to consist entirely of integers.

Links

Table of n, a(n) for n=0..26.

Prog

(PARI) {a(n)=if(n==0, 1, polcoeff(exp(sum(m=1, n, sum(k=0, ceil(log(m)/log(3)), (-1)^k*(floor(m/3^k)-floor((m-1)/3^k)))*(3*x)^m/m)+x*O(x^n)), n))}

Crossrefs

Cf. A014578.

Sequence in context: A181574 A101652 A026565 * A190905 A133136 A161138

Adjacent sequences: A174467 A174468 A174469 * A174471 A174472 A174473

Keyword

nonn

Author

Paul D. Hanna, Mar 28 2010

Status

approved