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!)
A281460 Expansion of Product_{k>=1} (1 + x^(7*k-2))*(1 + x^(7*k-5)). 1

%I #7 Jan 24 2017 10:05:00

%S 1,0,1,0,0,1,0,1,0,1,0,1,1,0,2,0,2,1,1,2,0,3,0,3,1,2,3,1,5,0,5,2,3,5,

%T 1,7,1,7,3,5,7,2,11,1,11,5,7,11,3,15,3,15,7,11,15,5,22,4,22,11,15,22,

%U 8,30,7,30,15,22,30,12,42,10,42,22,30,42,17,56

%N Expansion of Product_{k>=1} (1 + x^(7*k-2))*(1 + x^(7*k-5)).

%C Convolution of A281455 and A281458.

%H Vaclav Kotesovec, <a href="/A281460/b281460.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) ~ exp(sqrt(2*n/21)*Pi) / (2^(5/4)*21^(1/4)*n^(3/4)) * (1 - (3*sqrt(21/2)/(8*Pi) + 11*Pi/(84*sqrt(42))) / sqrt(n)). - _Vaclav Kotesovec_, Jan 22 2017, extended Jan 24 2017

%t nmax = 100; CoefficientList[Series[Product[(1 + x^(7*k-2))*(1 + x^(7*k-5)), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A035433, A281455, A281458.

%K nonn

%O 0,15

%A _Vaclav Kotesovec_, Jan 22 2017

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 April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)