A174470 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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 * A375903 A190905 A133136

Adjacent sequences: A174467 A174468 A174469 * A174471 A174472 A174473

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Mar 28 2010

STATUS

approved