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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A373297 Euler transform of A373216. 3

%I #10 May 31 2024 14:36:19

%S 1,1,2,3,5,7,12,16,24,33,47,63,90,118,161,212,283,367,487,624,812,

%T 1037,1332,1685,2152,2700,3409,4259,5333,6617,8242,10165,12568,15436,

%U 18970,23178,28360,34487,41970,50850,61599,74322,89696,107809,129572,155235,185881,221936

%N Euler transform of A373216.

%F G.f.: A(x) = 1/Product_{i>=1, j>=0} (1 - x^(i * 6^j)).

%F Let A(x) be the g.f. of this sequence, and P(x) be the g.f. of A000041, then P(x) = A(x)/A(x^6).

%o (PARI) my(N=50, x='x+O('x^N)); Vec(1/prod(k=1, N, (1-x^k)^(valuation(k, 6)+1)))

%Y Cf. A092119, A173241, A373295, A373296, A373298.

%Y Cf. A000041, A373216, A373220.

%K nonn

%O 0,3

%A _Seiichi Manyama_, May 31 2024

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 15 06:17 EDT 2024. Contains 374324 sequences. (Running on oeis4.)