A138215 G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(5n))...)^15)^10)^5.

1, 1, 5, 60, 1185, 32805, 1169626, 51021010, 2631549790, 156635460260, 10566145206715, 796523479440060, 66355853815084855, 6053343246845576335, 600137100011260447750, 64247982820612486908840

Offset

0,3

Links

Table of n, a(n) for n=0..15.

Example

G.f.: A(x)=1+x*B(x)^5, B(x)=1+x*C(x)^10, C(x)=1+x*D(x)^15, D(x)=1+x*E(x)^20,...
where A(x),B(x),C(x),... are the g.f. of the sequences given below.
A=[1,1,5,60,1185,32805,1169626,51021010,2631549790,...];
B=[1,1,10,195,5520,202235,9038502,475490115,28745939090,...];
C=[1,1,15,405,15005,690165,37491378,2335884815,163755375450,...];
D=[1,1,20,690,31640,1756595,112818004,8165592610,654987108920,...];
E=[1,1,25,1050,57425,3739650,277763130,22962379750,2080527807050,...];
F=[1,1,30,1485,94360,7055580,595576506,55444469360,5610038179890,...]; ...

Prog

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(j=0, n-1, A=1+x*A^(5*(n-j))); polcoeff(A, n)}

Crossrefs

Cf. A095793, A138211, A138212, A138213, A138214, A138216.

Sequence in context: A365557 A113665 A147585 * A207648 A349883 A010793

Adjacent sequences: A138212 A138213 A138214 * A138216 A138217 A138218

Keyword

nonn

Author

Paul D. Hanna, Mar 06 2008

Status

approved